日期	时间	报告人及题目						主持人
开幕式	7:50-8:25	开幕式（曲阜市铭座杏坛宾馆三楼会议室）						王利广（williamhill官方网站）
会场1	曲阜市铭座杏坛宾馆三楼会议室
4月15日上午	8:30-9:00	侯晋川（太原理工大学、教授）					对合素环上的强3-偏斜交换性保持映射	卢玉峰（大连理工大学）
	9:00-9:30	吉国兴（陕西师范大学、教授）					极大次对角代数的某些不变子空间的Beurling型表示
	9:30-10:00	房军生（河北师范大学、教授）					半有限因子中投影的和
	10:00-10:15	茶歇
	10:15-10:45	邱彦奇（武汉大学、教授）					端点空间之间完全有界傅立叶乘子的刻画	蒋立宁（北京理工大学）
	10:45-11:15	王航（华东师范大学、教授）					离域化 -Betti数和高 Kazhdan投影
	11:15-11:45	朱森（吉林大学、教授）					线性算子的可约逼近与不可约逼近	吴文明（重庆师范大学）
	11:45-12:15	李愿（陕西师范大学、教授）					完全正映射的谱表征和不动点
4月15日下午	14:00-14:30	王晓峰（广州大学、教授）					Fock型空间上的Hankel算子	李愿（陕西师范大学）
	14:30-15:00	曹鹏（北京理工大学，副教授）					在哪里可以从基本算子的值域中找到理想
	15:00-15:30	高福根（河南师范大学、副教授）					n-元组算子的非交换Clarkson–McCarthy不等式	王瑞东（天津理工大学）
	15:30-16:00	何莉（广州大学、副教授）					具有有界再生核的Hardy-Sobolev空间上的复合算子
	16:00-16:30	茶歇
	16:30-17:00	王子鹏（重庆大学、副教授）					解析函数空间上的Carleson测度	麻振华（河北建筑工程学院）
	17:00-17:30	朱森华（汕头大学、讲师）					非交换Hardy空间上后移的循环向量
	17:30-18:00	孟庆（williamhill官方网站、副教授）					半群交叉积的逼近性质
会场2	曲阜市铭座杏坛宾馆二楼大学堂
4月15日上午	8:30-9:00	曹怀信（陕西师范大学、教授）				无信号性关联张量与贝尔局域关联张量的刻画		纪奎（河北师范大学）
	9:00-9:30	周泽华（天津大学、教授）				关于加权复合算子谱的一些最新结果
	9:30-10:00	侯绳照（苏州大学、教授）				单位圆盘上解析函数空间的分数阶演算
	10:00-10:15	茶歇
	10:15-10:45	吴志强（南开大学、教授）				具有生成锥的算子系统的对偶性		曹小红（陕西师范大学）
	10:45-11:15	李玉成（河北师范大学、教授）				Dirichlet空间上乘法算子的相似性和交换性
	11:15-11:45	刘锐（南开大学、教授）				Banach空间中框架的泛函分析与量子检测		何华（河北工业大学）
	11:45-12:15	贺衎（太原理工大学、教授）				基于数据驱动的量子态层析
4月15日下午	14:00-14:30	吴劲松（北京雁栖湖应用数学研究院、教授）				量子傅里叶分析三维拓扑理论基础		王勤（华东师范大学）
	14:30-15:00	王瑞东（天津理工大学、教授）				交换C*-代数的Mazur-Ulam 性质
	15:00-15:30	齐霄霏（山西大学、教授）				有界线性算子的数值域及其保持		于涛（大连理工大学）
	15:30-16:00	郭志华（陕西师范大学、教授）				基于多重投影测量的量子相干
	16:00-16:30	茶歇
	16:30-17:00	刘磊（西安电子科技大学、教授）				三角代数的李中心子		李海英（河南师范大学）
	17:00-17:30	迟秀娇（南京航空航天大学、博士）				Hilbert-Schmidt框架序列的斜对偶对的膨胀
	17:30-18:00	胡晴华（williamhill官方网站、副教授）				一些解析函数空间上广义加权复合算子的和
会场1	曲阜市铭座杏坛宾馆三楼会议室
4月16日上午	8:00-8:30	许庆祥（上海师范大学、教授）			Hilbert C*-模上的拟投影对			赵显锋（重庆大学）
	8:30-9:00	乔雨（陕西师范大学、教授）			边界广群上椭圆型微分算子的重整化指数公式
	9:00-9:30	黄旭剑（天津理工大学、副教授）			通过平行四边形面积的实希尔伯特空间上的相位检索			程国正（大连理工大学）
	9:30-10:00	谭冬妮（天津理工大学、副教授）			Banach空间上的相位等距
	10:00-10:15	茶歇
	10:15-10:45	张峰（太原理工大学、副教授）			偏序向量空间之间Riesz*同态的Banach—Stone型定理			李玉成（河北师范大学）
	10:45-11:15	仝策中（河北工业大学、副教授）			Hardy空间上的紧致交织关系
	11:15-11:45	王亚（天津财经大学、讲师）			加权Orlicz空间上平移的超循环动力学			石洛宜（天津工业大学）
	11:45-12:15	杨子聪（河北工业大学、讲师）			Fock空间上的广义Stevic-Sharma算子
4月16日下午	14:00-14:30	王茂发（武汉大学、教授）			Hartogs三角形上Forelli-Rudin型算子的加权估计			黄旭剑（天津理工大学）
	14:30-15:00	洪桂祥（哈尔滨工业大学）			算子值哈代空间简介
	15:00-15:30	梁玉霞（天津师范大学、副教授）			移位算子及半群的几乎不变子空间			孟庆（williamhill官方网站）
	15:30-16:00	苗菲菲（williamhill官方网站、博士）			广群有限对齐子范畴乘积系统的上范C*-代数
	16:00-18:00	自由讨论、与会代表离会
会场2	曲阜市铭座杏坛宾馆二楼大学堂
4月16日上午	8:00-8:30	李忠艳（华北电力大学、教授）	$L^2(\R^d)$中的内在s-初等Parseval框架多小波					李鹏同（南京航空航天大学）
	8:30-9:00	石瑞（大连理工大学、教授）	AH代数到半有限von Neumann因子表示的近似等价
	9:00-9:30	江永乐（大连理工大学、副教授）	关于连续轨道等效刚度的一些结果					侯成军（扬州大学）
	9:30-10:00	李智强（重庆大学、副教授）	部分双曲型差同态微分算子的动力学不变量
	10:00-10:15	茶歇
	10:15-10:45	张远航（吉林大学、教授）		关于B(H)中幂等元的交换子集的闭包：双拟三角性和因子分解				王利广（williamhill官方网站）
	10:45-11:15	李春光（东北师范大学、副教授）		$C(X) \rtimes Z^d$的稳秩
	11:15-11:45	黄林哲（清华大学、博士后）		量子不等式与酉范畴化				袁巍（中国科学院）
	11:45-12:15	钱文华（重庆师范大学、副教授）		一阶幂等元上的满$L^p$等距
4月16日下午	14:00-18:00	自由讨论、与会代表离会

 

 

 

报告摘要

1、曹怀信，陕西师范大学

题目：无信号性关联张量与贝尔局域关联张量的刻画

摘要：When an n-partite physical system is measured by n observers, the joint probabilities of outcomes conditioned on the observables chosen by the n parties form a nonnegative tensor, called an n-partite correlation tensor (CT). Generally, CTs can be classified into signaling and nonsignaling ones according to the special relativity, as well as Bell local and Bell nonlocal ones from the point view of quantum mechanics. In this talk, we will introduce some characterizations of nonsignaling and Bell local n-partite CTs using singular valued decomposition (SVD) of matrices and a decomposition lemma about row-stochastic matrices，respectively, and then give a close relationship between nonsignaling and Bell local CTs.

2、曹鹏，北京理工大学

题目：Where to find the ideal from the range of elementary operators

摘要：In this talk, we will talk about the relationship between the classical ideals and the spectra of elements in range of elementary operators. The classical ideals mean the Jacboson radical, socle, scattered radical and so on. The main elementary operators here are inner derivation, generalized inner derivation, quadratic operator and so on.

3、迟秀娇，南京航空航天大学

题目：Dilations of Oblique Dual Pairs of Hilbert-Schmidt Frame Sequences

摘要：In this paper, we investigate the dilation problem on oblique dual pairs of Hilbert-Schmidt frame (HS-frame) sequences in Hilbert spaces. Firstly, we present a characterization for all oblique duals of a given HS-frame sequence. Then it is shown that any oblique dual pair (Type I dual pair) of HS-frame sequences in a Hilbert space can be dilated to an oblique dual pair (Type I dual pair) of HS-Riesz sequences in a larger Hilbert space, and we obtain a characterization for an HS-frame sequence to have a Parseval Type II dual by orthogonal dilation. Finally, a condition under which an oblique dual pair of HS-frame sequences in a Hilbert space can be obliquely dilated to a dual pair of HS-Riesz bases for the same space is given.

4、房军生，河北师范大学

题目：Sums of projections in semifinite factors

摘要：Which positive operators in a factor von Neumann algebra can be written as sums of projections? This question is studied by Victor Kaftal, Ping Wong Ng, and Shuang Zhang. They obtained beautiful results on the question. In this talk we report some new progress on the question. This is joint work with Xinyan Cao and Zhaolin Yao.

5、高福根，河南师范大学

题目：Non-commutative Clarkson–McCarthy Inequalities for -Tuples of Operators

摘要：The classical inequalities of Clarkson for the Lebesgue space  and their non-commutative analogues for the Schatten trace ideals play an important role in analysis, operator theory and mathematical physics. In this talk, we introduce the development of Clarkson Inequalities and obtain extensions of these inequalities for -Tuples of operators by employing various techniques such as convexity and concavity of certain functions, including the power functions. Moreover, we get some norm inequalities for partitioned operators and for Cartesian decomposition of operators. At the same time，we obtain some norm inequalities involving convex and concave functions, which are the generalizations of the classical Clarkson inequalities.

6、郭志华，陕西师范大学

题目：Quantum coherence based on multiple projective measurements

摘要：In this talk, we will give some results about quantum coherence based simultaneously on multiple orthonormal bases and projective measurements, respectively.

7、何莉，广州大学

题目：Composition operators on Hardy-Sobolev spaces with bounded reproducing kernel

摘要：For any real \beta let H^2_\beta be the Hardy-Sobolev space on the unit ball \B_{n}, n\geq 1. H^2_\beta is a reproducing kernel Hilbert space and its reproducing kernel is bounded when \beta>n/2. In this talk, we characterize when the composition operator C_{\varphi } on H^{2}_{\beta }is Fredholm for a non-constant analytic map \varphi: from \B_{n}\to\B_{n}. We also study when C_{\varphi } has dense range in H_{\beta }^{2}.

8、贺衎，太原理工大学

题目: 基于数据驱动的量子态层析

摘要:  Hilbert空间及其上的算子理论是量子力学的数学基础框架，量子信息理论中的很多问题是算子代数与算子理论问题。量子态即由密度算子描述，量子态层析是量子信息理论中的一个历史悠久的难题。最近，一类基于数据驱动的量子态层析方法被提出并研究。报告介绍了我们在这一课题上的一些阶段性成果。

9、洪桂祥，哈尔滨工业大学

题目：A brief introduction to operator-valued Hardy spaces

摘要：In this talk, I shall give a relatively brief but complete introduction to operator-valued Hardy spaces. The theory of Hardy spaces is a young research topic in noncommutative analysis, and there remain lots of challenging problem.

10、侯晋川，太原理工大学

题目：Strong 3-skew commutativity preserving maps on prime rings with involution

摘要：Let \mathcal {R} be a unital prime \ast-ring containing a nontrivial symmetric idempotent. For A,B\in\mathcal R, the 3-skew commutator is defined by _*[A,B]_3={_*[A,{_\ast[A,B]_2}]}={_*[A,{_*[A,{_*[A,B]}]}]}=A^3B-3A^2BA^*+3AB(A^*)^2-B(A^*)^3. Let \Phi:\mathcal {R} \rightarrow \mathcal {R} be a surjective map. It is  shown that \Phi satisfies _\ast[\Phi(A),\Phi(B)]_3={_\ast[A,B]_3} for all A, B\in\mathcal {R} if and only if there exists \lambda\in{\mathcal Z}_\emph{S}(\mathcal R) with \lambda^{4} = I such that \Phi(A) = \lambda A  for all A\in\mathcal {R}. Where I is the unit of \mathcal R and \mathcal {Z}_\emph{S}(\mathcal R) is the symmetric center of \mathcal {R}. This result then is applied to some operator algebras.

11、侯绳照，苏州大学

题目：Fractional calculus on analytic function spaces over the unit disk

摘要：In this talk, I will give an introduction to fractional calculus and discuss the boundness of the fractional integration operatorof order  between two analytic function spaces (such as Hardy spaces, mixed norm spaces, Bloch spaces and BMOA). I will treat three types of definitions for : Hadamard, Flett, and Riemann-Liouville. This is based on a joint work with Fang Xiang, Guo Feng and Zhu Xiaolin.

12、胡晴华，williamhill官方网站

题目：sums of generalized weighted composition operators on some analytic function spaces

摘要：In this talk, we will discuss sums of generalized weighted composition operators. We give some characterizations for the boundedness, compactness and essential norm of sums of generalized weighted composition operators T_{\vec{\psi},\varphi}^k on some analytic function spaces, where k\in \mathbb{N}_0, \varphi is an analytic self-maps of \mathbb{D} and \vec{\psi} denote the sequence \{\psi_0, \psi_1, \cdot\cdot\cdot, \psi_k\} such that \psi_j be a function analytic in \mathbb{D}. This is a work joint with Professor Songxiao Li.

13、黄林哲，清华大学

题目:  Quantum Inequalities and Unitary Categorification

摘要: In this talk, I will introduce our recent progress on quantum Fourier analysis. We unify and establish various quantum inequalities such as Young’s inequality, reverse Young’s inequality, (smooth) entropic convolution inequality, etc., on quantum symmetries. We prove a family of primary criteria for unitary categorification of fusion rings basis on the complete positivity of comultiplication, which are stronger than the Schur product criterion. Localized versions of primary criteria are applicable to check fusion rings with incomplete data. Further more, these criteria could be applied as analytic obstructions for principal graphs of subfactors.

14、黄旭剑, 天津理工大学

题目: Phase retrieval on real Hilbert spaces by the area of parallelogram

摘要: Phase retrieval is the problem of recovering a signal from the absolute values of linear measurement coefficients, which has turned into a very active area of research. We introduce a new concept we call 2-norm phase retrieval on real Hilbert space via the area of parallelograms spanned by any two vectors. We will discuss what is necessary and sufficiency for 2-norm phase retrieval. We also study the relationship between the 2-norm phase retrieval and the phase retrieval by projections.

15、吉国兴，陕西师范大学

题目：Beurling type representation for certain invariant subspaces of maximal subdiagonal algebras

摘要：Let $\mathfrak A$ be a maximal subdiagonal algebra with diagonal $\mathfrak D$ in a $\sigma$-finite von Neumann algebra $\mathcal M$ with respect to a faithful normal conditional expectation $\Phi$. We consider certain invariant subspaces of $\mathfrak A$ in the Haagerup's noncommutative $L^p$ space $L^p(\mathcal M)$($1\leq p\leq\infty$). If $\varphi$ is a faithful normal state on $\mathcal M$ with $\varphi\circ \Phi=\varphi$ and $\{\sigma_t^{\varphi}:t\in\mathbb R\}$ is the modular automorphism group of $\mathcal M$ associated with $\varphi$, then we give a Beurling type repersentation for those right invariant subspaces of $\mathfrak A$ in $L^p(\mathcal M)$ which are also invariant under  $\{\sigma_t^{\varphi}:t\in\mathbb R\}$.

   Consequently, we give an algebraic characterization  for a subdiagona algebra to be  type 1  and  a type decomposition  for   a  central projection in $\mathcal M$   associated with the center of $\mathfrak D$.

16、江永乐，大连理工大学

题目: Some results on continuous orbit equivalence rigidity

摘要: In this talk, we discuss continuous orbit equivalence (coe for short) between two continuous group actions on compact spaces. Roughly speaking, this means there exists a homeomorphism between the spaces which identifies orbits on two sides continuously. We survey some known results on coe rigid actions, i.e. actions for which coe between them and other actions implies they are topologically conjugate.

17、李春光，东北师范大学

题目: Stable rank of C(X) \rtimes Z^d

摘要: I will introduce the definitions of stable ranks (Bass stable rank and topological stable rank). Then I will talk about some work on the stable rank of C*-algebras. Consider a free and minimal action of Z^d on a compact Hausdorff space X. The main result shows that the stable rank of the corresponding crossed product C^*-algebra C(X) \rtimes Z^d is 1. This gives a positive answer to a conjecture of Niu and Phillips. This talk is based on a joint work with Zhuang Niu.

18、李玉成，河北师范大学

题目：On similarity and commutant of multiplication operators on the Dirichlet space

摘要：Let \mathfrak D  be the Dirichlet space on the unit disc \mathbb D and B(z) be the Blaschke product with n zeros, we prove that multiplication operator M_B on the Dirichlet space \mathfrak D is similar to \bigoplus\limits_{1}^{n}M_{z} on \bigoplus\limits_{1}^{n}\mathfrak D by a crucial decomposition of the Dirichlet space \mathfrak{D}.  As two applications of our similarity theorem,  first we characterize the intersection of the commutant of multiplication operator M_B on the Dirichlet space setting from the techniques in operator theory combined with matrix manipulations, then we give a sufficient and necessary condition for the similarity of two multiplication operators M_{f_1} and M_{f_2} on the Dirichlet space. This is a joint work with Professor Pan Ma.

19、李愿，陕西师范大学

题目：Spectral characterization and Fixed points of some completely positive maps

摘要： We extend some results on positive and completely positive trace-preserving maps from finite dimensional to infinite dimensional Hilbert space. Specifically, we mainly consider whether the fixed state of a quantum channel exists on the Banach space of all trace class operators. We show that there exist the approximation states for every quantum channel. In particular, there is a quantum channel which has not a fixed state.

20、李智强，重庆大学

题目:  Dynamical Invariants for Differential Operators of Partially Hyperbolic Diffeomorphisms

摘要：In this talk, I will talk about basic dynamical invariants for the differential operators of  smooth partially hyperbolic diffeomorphisms, whose dynamical complexity in both topological and measure theoretic settings will be touched, as well as their connections. This is based on joint works with W. Zhang, Y, Zhou, and X. Ren etc .

21、李忠艳，华北电力大学

题目：Intrinsic s-elementary Parseval frame multiwavelets in L^2(\R^d)

摘要： Let A be an d\times d expansive matrix, a  finite subset \Psi=\{\psi_1,\cdots,\psi_n\} of Hilbert space L^2(\R^d) is called an A-dilation Parseval frame multiwavelet (of length n) if the affine system \{D_A^jT_k\psi_i= |detA|^{\frac{j}{2}}\psi_i(A^j\t-\k)|j\in\Z,k\in\Z^d,1\leq i\leq n\} is a Parseval frame for L^2(\R^d), that is

\|f\|^2=\sum_{i=1}^n\sum_{j\in\Z,\k\in\Z^d}|\langle f,D_A^jT_k\psi_i\rangle|^2,\,\forall f\in L^2(\R^d). In the special case that there exist disjoint measurable sets \{E_1, E_2,\cdots, E_n\} of \R^d such that \widehat{\psi_i}=\frac{1}{(2\pi)^{d/2}}\chi_{E_i}

for each i,\,\Psi is called an A-dilation s-elementary Parseval frame multiwavelet. A measurable set E is called a frame multiwavelet set of multiplicity m(under A-dilation) if E can be written as a disjoint union of measurable sets \{E_1,E_2,\cdots,E_m\} such that \widehat{\psi_i}=\frac{1}{(2\pi)^{d/2}}\chi_{E_i} defines a Parseval frame multiwavelet \Psi=\{\psi_1,\cdots,\psi_m\}, and that this cannot be done for any integer less than m. An A-dilation s-elementary Parseval frame multiwavelet with length m that is defined on a frame multiwavelet set of multiplicity m is said to be intrinsic. It is known that a single  A-dilation s-elementary wavelets exist in L^2(\R^d) for any expansive matrix A. In this talk, we show that for any d\times d  expansive matrix A and any given m\in\N, the family of intrinsic A-dilation s-elementary Parseval frame multiwavelet with length m is not empty, and is path-connected under the norm topology of (L^2(\R^d))^m. The same result holds for the family of all A-dilation s-elementary Parseval frame multiwavelet with length m.

22、梁玉霞，天津师范大学

题目: 移位算子及半群的几乎不变子空间

摘要: 单位圆盘Hardy空间H2(D)上的单侧右移位算子S及其对偶算子S*是不变子空间等问题研究的典型实例。1988数学Sarason 和Hitt分别提出了Hardy空间中几乎S*不变子空间的概念，目的是为了分类圆环域Hardy空间上单侧右移位算子的不变子空间。尤其H2(D)上任何Toeplitz算子的核空间都是几乎S*不变，从而几乎不变子空间与Toeplitz算子有着紧密的联系。无限维可分希尔伯特空间上的广义移位算子是S与Toeplitz算子的统一算子，本报告首先讨论了有限重广义移位算子T的几乎T-1不变子空间的表达式，并得到了有限阶Blaschke积B为符号定义Toeplitz算子的几乎TB-1不变子空间。最后，借助移位算子半群对无限重Toeplitz算子TB的几乎不变子空间进行了初步尝试。

23、 刘磊，西安电子科技大学

题目：Lie centralizers of triangular algebras

摘要: Let  be a unital algebra over a field F. A linear map  from  into itself is called a Lie centralizer at a given point  if  for all  with . In this talk we will present some descriptions of Lie centralizers at an arbitrary but fixed point on triangular algebras. These results are then applied to nest algebras and upper triangular matrix algebras.

24、刘锐，南开大学

题目：Functional analytic aspects of frames in Banach spaces and quantum detection

摘要：In 1999-2000, Casazza, Han, and Larson introduced frame to approximation property in Banach space theory (ref. 2020 MSC 46B15). In 2008, Benedetto et al. introduced frame force to the quantum detection in quantum information theory. Since 2014, we have developed dilation theory on operator-valued measures (OVMs) and frames for Banach spaces. Based on the connections between frames and OVMs, Casazza et al. in 2019 used discrete frames to give the solution to the quantum detection problem. Recently, we have considered the continuous frame (coherent state) version of the quantum detection problem. Meanwhile, we investigated the quantum detection problem for OVMs generated by multi-window Gabor frames.

25、孟庆，williamhill官方网站

题目：半群交叉积的逼近性质

摘要：半群C*-代数和半群交叉积是群C*-代数和经典交叉积理论的重要拓展。本报告主要讨论半群C*-代数和半群交叉积的核性质和Haagerup性质。

26、苗菲菲，williamhill官方网站

题目：Co-universal C*-algebras for product systems over  finite aligned subcategories of groupoids

摘要：We introduce the notion of quasi-product systems over left cancellative 

small categories. In particular, we introduce the notion of product systems over left cancellative small categories. We characterize the co-universal algebras for compactly aligned product systems over finite aligned subcategories of groupoids by using the C^*-envelopes of the cosystems associated with the product systems.

27、齐霄霏，山西大学

题目：Numerical range of bounded linear operators and their preservers

摘要：Let B(H) the algebra of all bounded linear operators on a complex Hilbert space H and Bs(H) the Jordan algebra of all self-adjoint operators in B(H). In this talk, we first give some useful properties of higher dimensional numerical range of some operator products. Based on these results, the general preservers about higher dimensional numerical range on B(H) and Bs(H) are respectively given.

28、钱文华，重庆师范大学

题目：Surjective L^p-isometries on rank one idempotents

摘要：In this talk we will look at surjective L^p-isometries on rank one idempotents acting on a Hilbert space H for p > 1. We show that, if \varphi is a surjective L^p-isometry on the set of rank one idempotents, then it leaves the set of rank one projections invariant. By applying the classical Wigner's theorem and some further calculations, we prove that either \varphi or \varphi^* is induced by a unitary or an anti-unitary.

29、乔雨，陕西师范大学

题目：Renormalized Index Formulas for Elliptic Differential Operators on Boundary Groupoids

摘要：We consider the index problem of certain boundary groupoids of the form . It has been shown by P. Carrillo Rouse and Bing Kwan So (苏鈵鈞) that for the case that  is odd,  , and moreover the K-theoretic index coincides with the Fredholm index. Based on this work, we derive a numerical formula for elliptic differential operators on renormalizable boundary groupoids. Our approach is similar to that of renormalized trace of Moroianu and Nistor. However, we find that when is odd, the eta term vanishes, and hence the K-theoretic and Fredholm indices of elliptic (respectively fully elliptic) pseudo-differential operators on these groupoids are given only by the Atiyah-Singer term. As for the  case we find that the result depends on how the singularity set  lies in. It is joint work with Bing Kwan So (Jilin University).

30、邱彦奇，中科院数学所/武汉大学

题目： Characterizations of completely bounded Fourier multipliers between endpoint spaces

摘要：In this talk, we will talk about our recent work on the full characterizations for completely bounded Fourier multipliers between endpoint spaces of holomorphic functions. Namely, we characterize the completely bounded Fourier multipliers between Hardy H1 spaces to Hardy H2 spaces or BMOA spaces. And we will also mention a very new Fourier-Schur type multiplier inequality with critical exponent.  Our approach is a combination of algebraic/representation method (for Hankel operators) and analytic method (of Nehari type)and thus can be easily adapted to suitable abstract settings. This talk is based on a joint work with Yong Han and Zipeng Wang.

31、石瑞，大连理工大学

题目：Approximate equivalence of representations of AH algebras into semifinite von Neumann factors

摘要：In this talk, we talk about a non-commutative version of the Weyl-von Neumann theorem for representations of unital, separable AH algebras into countably decomposable, semifinite, properly infinite, von Neumann factors, where an AH algebra means an approximately homogeneous C∗ -algebra. We also prove a result for approximate summands of representations of unital, separable AH algebras into finite von Neumann factors.

32、谭冬妮，天津理工大学

题目：Phase-isometries on Banach spaces

摘要：We say that a mapping  between two Banach spaces is a

phase-isometry if it satisfifies the functional equation

Motivated by the Mazur-Ulam Theorem, the following natural problem arises: Is it true thatis phase equivalent to a linear isometry? That is there exsit a surjective linear isometry and a phase function such that  This is also a Wigner’s type result for Banach spaces. We will present some our current understanding on this problem.

33、仝策中，河北工业大学

题目：Compact intertwining relations on Hardy spaces

摘要：I will talk about the compact intertwining relations for the Volterra operators and Multiplication operators on the Hardy spaces.

34、王航，华东师范大学

题目： Delocalized -Betti numbers and higher Kazhdan projections

摘要：Classical Betti numbers are topological invariants for a closed manifold. Associated to a closed manifold with a Galois cover, one has the -Betti number together with rich applications in geometry and topology. Lott introduced the generalized notion of delocalized -Betti numbers, which can be reformulated as invariants for a discrete group. Employing higher Kazhdan projections, we present new computations for Lott's delocalized -Betti numbers for some hyperbolic groups. This is joint work with Sanaz Pooya.

35、王茂发，武汉大学

题目：Weighted estimates for Forelli-Rudin type operators on the Hartogs triangle

摘要： In this talk, we give the sharp estimates  of the norms for the  Forelli-Rudin type  integral operators on weighted Lebesgue spaces on the Hartogs triangle by applying the domination technique of positive dyadic operators from harmonic analysis.  Futhermore,   we salso characterize the boundedness of Berezin transform on the Hartogs triangle.

36、王瑞东，天津理工大学

题目：The Mazur-Ulam Property for abelian C*-algebras

摘要：In this report, we prove that every abelian C*-algebra A has the Mazur-Ulam Property,that is, every surjective isometry T of S(A) to S(E) admits an extension to a surjective real linear isometry from A onto X.

37、王晓峰，广州大学

题目：Hankel operators on Fock-type spaces

摘要：In this talk, we consider Hankel operators on a family of Fock-type spaces of which weights are C3-logarithmic growth functions with mild smoothness

conditions. It is shown that Hankel operators on Fock spaces are bounded if and only if the symbol functions have bounded distance to analytic functions BDA. We also characterize the compactness and Schatten class membership of Hankel operators in similar suitable manners.

38、王亚，天津财经大学

题目：Supercyclic dynamics of translations on weighted Orlicz spaces

摘要：The study of dynamics of linear operators comes from the famous invariant subspace problem. The main contents of linear dynamics is the density of iterative orbits of bounded linear operators, including hypercyclicity, supercyclicity, cyclicity, chaoticity and so on. In this talk, we focus on the supercyclicity and disjoint supercyclicity of translation operators on weighted Orlicz space. We show that the supercyclicity of this operator is closely related to the spectrum of its adjoint operators.

39、王子鹏，重庆大学

题目：Carleson measures on analytic function spaces

摘要：In this talk, we shall report our recent processes on Carleson measures on analytic function spaces related to composition operators and singular integral operators.

40、吴劲松，北京雁栖湖应用数学研究院

题目：量子傅里叶分析三维拓扑理论基础

摘要：3D topological foundation for quantum Fourier analysis

Abstract： We introduce the tensor categories, Drinfeld center and related 3 dimensional topological quantum field theory (TQFT). We introduce a new unified TQFT which encode related algebraic concepts by topological concepts. This led to a short proof of remarkable identity between Reshetikhin-Turaev invariant and Turaev-Viro invariant. Furthermore, we propose perspectives of quantum Fourier analysis and related questions in this unified TQFT based on reflection positivity.

41、吴志强，南开大学

题目：Duality for operator systems with generating cones

摘要：In this article, we extend the duality functor in a previous work to the category of complete operator systems with generating cones.

We will then apply this to the class of non-complete operator systems introduced by Connes and van Suijlekom. (This is a joint work with Y.S. Jia).

42、许庆祥，上海师范大学

题目：Quasi-projection pairs on Hilbert C*-modules

摘要：Based on weighted projections on Krein spaces and some other examples, a new term of quasi-projection pair on Hilbert C*-modules is introduced recently. Roughly speaking, an ordered quasi-projection pair consists of two operators, one of which is a projection and another one is an idempotent  satisfying certain conditions. For every idempotent Q, it can be shown that there always exists a projection m(Q) (called the matched projection of Q) and an invertible operator W such that (m(Q),Q) is a quasi-projection pair, Q=W^{-1}m(Q)W, and the norm of I-W is less than one. This gives a new way to study the representation as well as the homotopic equivalence of idempotents. Some nice properties of the matched pair (m(Q),Q) will be revealed. Also, some new results on general quasi-projection pairs will be reported.

43、杨子聪，河北工业大学

题目：Generalized Stevic-Sharma operator on Fock spaces

摘要：In this talk, we discuss a class of product-type operator on classical Fock spaces. We show that the boundedness of composition-differential operator is equivalent to that of differential-composition operator on Fock space.

44、张峰，太原理工大学

题目： A Banach-Stone type theorem for Riesz* homomorphism between partially ordered vector spaces

摘要： Let X, Y be compact Hausdorff spaces, E, F be Banach lattices and F with order continuous norm. In this talk, I will introduce the pre-Riesz theory, and use pre-Riesz space theory to consider a Riesz* homomorphism T between order dense subspaces of C(X, E) and C(Y, F). This will show that T is a weighted composition operator.

45、张远航，吉林大学

题目： Around the closure of the set of commutators of idempotents in \mathcal{B}(\mathcal{H})：biquasitriangularity and factorisation

摘要：In this talk, we will study the norm-closure of the set \mathfrak{C}_{\mathfrak{E}} of bounded linear operators acting on a complex, separable Hilbert space \mathcal{H} which may be expressed as the commutator of two idempotent operators.

In particular, we will identify which biquasitriangular operators belong to the norm-closure \textsc{clos}(\mathfrak{C}_{\mathfrak{E}}) of \mathfrak{C}_{\mathfrak{E}}. We will also give some results about the factorisations of bounded linear operators on \mathcal{H} as sums and products of elements in \mathfrak{C}_{\mathfrak{E}} and related sets.

This is a joint work with Laurent Marcoux and Heydar Radjavi.

46、周泽华，天津大学

题目：Some recent results about the spectra of weighted composition operators

摘要：The spectrum of a weighted composition operator who is induced by an automorphism has been investigated for over fifty years. However, many results are got only under the condition that the weight function is continuous up to the boundary. In this talk, we give some resent results, and study the spectra and essential spectra of weighted composition operator on weighted Bergman spaces，when self-map is an elliptic automorphism, without the assumption that weighted function is continuous up to the boundary.

47、朱森，吉林大学

题目：线性算子的可约逼近与不可约逼近

摘要：算子的不变子空间与约化子空间是人们理解算子结构的重要研究课题。针对具体算子（如Toeplitz算子）, 人们的注意力主要集中于不变子空间及约化子空间的刻画。而对通过各种抽象方式定义的算子类(如Cowen-Douglas算子)，人们常常研究所谓的可约逼近与不可约逼近问题，即研究所关心的算子类中可约算子和不可约算子是否分别构成其稠密子集。本报告将介绍这方面的一些研究结果。

48、朱森华，汕头大学

题目：The cyclic vectors of backward shifts on the noncommutative Hardy space

摘要：In this talk, we introduce the cyclic vectors of backward shifts on the noncommutative Hardy space. Firstly, we show that the cyclic vectors are closely related to the Champernowne swquence. Secondly, we extend Douglas-Shapiro-Shields factorizations to the noncommutative seeting and give a complete characterization of the cyclic vectors.