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算子理论与算子代数研讨会

报告时间:2023年5月27日

报告地点:瘦西湖校区56号楼208会议室

李鹏同(南京航空航天大学)8:00-9:00

报告题目:Dilations of oblique dual pairs of Hilbert-Schmidt frame sequences

报告摘要:In this talk, we will discuss 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.

侯绳照(苏州大学)9:00-10:00

报告题目:Fock projection on weighted spaces

报告摘要:Projections are essential building blocks of operator theory on spaces of

analytic functions. One cornerstone is to characterize their boundedness and compactness. In this talk, we will discuss the boundedness and compactness of Fock projection from to ,where and        are the Gaussian probability measures on .Some applications on Berezin transform and  generalized Fock projection are also discussed.

卫淑云(苏州大学)10:20-11:20 

报告题目:Complex Symmetry of Operators on Fock-Sobolev Spaces

报告摘要:An operator T∈BH is complex symmetric if there exists a conjugation C on H such that CTC=T*. In this talk, we mainly discuss when a weighted composition operator Wφ,ψ or a Toeplitz operator Tφ on the Fock-Sobolev space F2,m, is complex symmetric with respect to certain conjugation Cλ.

王鹏辉(山东大学)11:20-12:20

报告题目:The polydisc version of Arveson's conjecture

报告摘要:In this talk, I will disscuss the essential normality of the quotient modules over the polydisc. The relationship between the essential normality and the distinguished variety will be considered.  The talk is based on a series joint work with Prof Kunyu Guo(Fudan University) and Chong Zhao( Shandong University).

李建奎(华东理工大学)16:00-17:00

报告题目:Local properties of some Banach algebras

报告摘要:In this talk, we introduce some properties of local deivations, local automorphisns and local isometries.  For a class of algebras, we pove that these local properties imply whole properties.


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