Title：Dual spaces of operator systems

Abstract：In this talk, we show that an operator system      is dualizable if and only if the ordered normed space satisfies a form of bounded decomposition property， and obtain a full and faithful functor from the category of dualizable operator systems to that of dualizable dual operator systems. Moreover, we will verify that that if   is either a C*-algebra or a unital operator system, then   is dualizable and the canonical weak-*-homeomorphism from the unital operator system  to the operator system   is a completely isometric complete order isomorphism.

Speaker：Chi-Keung Ng，Nankai University

Date：2:30pm-5:30pm 2021-12-13（Monday）.

Tencent Meeting ID： 576-251-781

Organizer：School of Mathematical Science

Students and teachers who are interested in functional analysis are welcome.