Numerical ranges, operator systems, and quantum channels


主讲人:Professor Chi-Kwong Li,College of William and Mary




主讲人介绍:Chi-Kwong Li is a Ferguson professor at Department of Mathematics, College of ?William and Mary. He received B. A. in 1982 and Ph. D in 1986 at the University ?of Hong Kong. His research areas cover a wide range of matrix theory, operator ?theory, combinatorial theory, quantum information science, mathematical biology, ?mathematical education, etc. He has published more than 300 papers in SIAM Rev., ?SIAM J. Sci. Comput., SIAM J. Matrix Anal. Appl., SIAM J. Appl. Math., J. Funct. ?Anal., Linear Algebra Appl., etc. He is the editor in chief of the Linear and ?Multilinear Algebra and Operators and Matrices, the Senior editor of the Linear ?Algebra and Its Applications and a member of the editorial board of Involve a ?Journal of Mathematics.

内容介绍:For a bounded linear operator T on a Hilbert space H, the numerical range W(T) ?is the image of the unit sphere of H under the quadratic from associated with ?the operator. More precisely, We describe some problems and results on numerical ?ranges related to operator systems associated with quantum channels.