arXiv subjects

Wai Hin Ng

Publications and source records attributed to Wai Hin Ng.

3 recordsLinked to original sources

arXiv2018

Matrix-ordered Duals of Operator Systems and Projective Limits

We construct projective limit of projective sequence in the following categories: Archimedean order unit spaces with unital positive maps and operator systems with unital completely positive maps. We prove that inductive limit and projective limit in these categories are in duality, provided that the dual objects remain in the same categories and the maps are order embeddings. We generalize a result of Choi and Effros on matrix-ordered duals of finite-dimensional operator systems to separable case.

math.OA↗

arXiv2015

The SOH Operator System

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.

math.OA↗

arXiv2015

Two Characterizations of the Maximal Tensor Product of Operator Systems

In this paper we provide two characterizations of the maximal tensor product structure for the category of operator systems. The first one is via the schur tensor product; the second one employs the idea of the completely positive approximation property (CPAP).

math.OA↗