A Note on Submaximal Operator Space Structures
Operator Algebras
2012-12-12 v1 Functional Analysis
Abstract
In this note, we consider the smallest submaximal space structure {\mu}(X) on a Banach space X. We derive a characterization of {\mu}(X) up to complete isometric isomorphism in terms of a universal property. Also, we show that an injective Banach space has a unique submaximal space structure and we explore some duality relations of {\mu}-spaces. Key Words: operator spaces, maximal operator spaces, submaximal spaces, {\mu}- spaces.
Cite
@article{arxiv.1212.2315,
title = {A Note on Submaximal Operator Space Structures},
author = {Vinod Kumar P. and M. S. Balasubramani},
journal= {arXiv preprint arXiv:1212.2315},
year = {2012}
}
Comments
Pages: 12, Communicated