Matrix regular operator space and operator system

2010/02/08 by Kyung Hoon Han, Han, Kyung Hoon · 1 citation
Mathematics · #46L07 #47L07 #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L07 #msc:47L07

paper · pdf · doi:10.48550/arxiv.1002.1520

8 pages, to appear in JMAA

arxiv created 2010/02/08 · arxiv updated 2010/02/26

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.

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