English

The SOH Operator System

Operator Algebras 2015-06-16 v2

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.

Keywords

Cite

@article{arxiv.1505.00087,
  title  = {The SOH Operator System},
  author = {Wai Hin Ng and Vern I. Paulsen},
  journal= {arXiv preprint arXiv:1505.00087},
  year   = {2015}
}

Comments

19 pages

R2 v1 2026-06-22T09:26:25.876Z