Article ID Journal Published Year Pages File Type
4619246 Journal of Mathematical Analysis and Applications 2010 6 Pages PDF
Abstract

We establish a relationship between Schreiner's matrix regular operator space and Werner's (nonunital) operator system. For a matrix ordered operator space V with complete norm, we show that V is completely isomorphic and complete order isomorphic to a matrix regular operator space if and only if both V and its dual space V∗ are (nonunital) operator systems.

Related Topics
Physical Sciences and Engineering Mathematics Analysis