arXiv subjects

Vinod Kumar P.

Publications and source records attributed to Vinod Kumar P..

2 recordsLinked to original sources

arXiv2014

Minimal and Maximal Operator Space Structures on Banach Spaces

Given a Banach space $X$, there are many operator space structures possible on $X$, which all have $X$ as their first matrix level. Blecher and Paulsen identified two extreme operator space structures on $X$, namely $Min(X)$ and $Max(X)$ which represents respectively, the smallest and the largest operator space structures admissible on $X$. In this note, we consider the subspace and the quotient space structure of minimal and maximal operator spaces.

math.OA↗

arXiv2012

A Note on Submaximal Operator Space Structures

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.

math.OA↗