publication . Preprint . 2014

Minimal and Maximal Operator Space Structures on Banach Spaces

P., Vinod Kumar; Balasubramani, M. S.;
Open Access English
  • Published: 18 Nov 2014
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.
arXiv: Mathematics::Functional Analysis
free text keywords: Mathematics - Operator Algebras, 46L07, 47L25
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