题目：Common Reducing Subspaces of Several Weighted Shifts with Operator Weights

报告人：Professor Caixing Gu （California Polytechnic State University San Luis Obispo）

时间：2017年7月11日（周二）下午14:00

地点🤸🏽‍♂️：致远楼107室

Abstract: We characterize common reducing subspaces of several weighted shifts with operator weights. As applications, we study the common reducing subspaces of the multiplication operators by powers of coordinate functions on Hilbert spaces of holomorphic functions in several variables. The identification of reducing subspaces also leads to structure theorems for the commutants of von Neumann algebras generated by these multiplication operators. This general approach applies to weighted Hardy spaces, weighted Bergman spaces, Drury-Arveson spaces and Dirichlet spaces of the unit ball or polydisk uniformly.