A Note on Submaximal Operator Space Structures
arXiv:1212.2315
Abstract
In this note, we consider the smallest submaximal space structure μ(X) on a Banach space X. We derive a characterization of μ(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 μ-spaces. Key Words: operator spaces, maximal operator spaces, submaximal spaces, μ- spaces.
Pages: 12, Communicated