Speaker: Yi Wang (Chongqing University)
Time: 2025-11-14 14:30-15:30
Location: 1410, SIMIS
Abstract: Given a commuting n-tuple of bounded linear operators on a Hilbert space, together with a distinguished cyclic vector, Jim Agler defined a linear functional on the polynomial ring. “Near subnormality properties” of an operator are translated into positivity properties of the linear functional. We give a characterization of those cyclic tuples whose associated linear functional is given by a compactly supported distribution. We also give a function model for such tuples using reproducing kernel Hilbert spaces. In the end, we will present some recent results on the von Neumann’s inequality. Our approach is closely related to that of the previous result.
About Speaker: Professor Wang Yi is a professor at Chongqing University. Her research focuses on operators on analytic Hilbert modules. She has done pioneering work on the Arveson-Douglas conjecture and related geometric invariants, as well as on the essential commutativity of Toeplitz operators. Her work has been published in leading journals such as Adv. Math., Proc. Lond. Math. Soc., and J. Funct. Anal..
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