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arXiv · 1411.5079

Minimal and Maximal Operator Space Structures on Banach Spaces

Vinod Kumar P.·M. S. Balasubramani
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Abstract

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.

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Vinod Kumar P., M. S. Balasubramani. 2014-11-19. Minimal and Maximal Operator Space Structures on Banach Spaces. https://arxiv.org/abs/1411.5079

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