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# Condition $C'_{\wedge}$ of Operator Spaces

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Published:2016-11-02
Printed: Mar 2017
• Yuanyi Wang,
School of Information Engineering, College of Science and Technology, Ningbo University , Ningbo, China
 Format: LaTeX MathJax PDF

## Abstract

In this paper, we study condition $C'_{\wedge}$ which is a projective tensor product analogue of condition $C'$. We show that the finite-dimensional OLLP operator spaces have condition $C'_{\wedge}$ and $M_{n}$ $(n\gt 2)$ does not have that property.
 Keywords: operator space, local theory, tensor product
 MSC Classifications: 46L07 - Operator spaces and completely bounded maps [See also 47L25]

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