The SOH Operator System

2015/05/01 by Wai Hin Ng, Vern I. Paulsen, Ng, Wai Hin +1 · 1 citation
Mathematics · #FOS: Mathematics #Operator Algebras (math.OA) #math.OA

paper · pdf · doi:10.48550/arxiv.1505.00087

19 pages

arxiv created 2015/06/15 · arxiv updated 2015/06/16

Abstract

In this paper we examine a natural operator system structure on Pisier's self-dual operator space. We prove that this operator system is completely order isomorphic to its dual with the cb-condition number of this isomorphism as small as possible. We examine further properties of this operator system and use it to create a new tensor product on operator systems.

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