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

  Published:2016-11-02
 Printed: Mar 2017
  • Yuanyi Wang,
    School of Information Engineering, College of Science and Technology, Ningbo University , Ningbo, China
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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 operator space, local theory, tensor product
MSC Classifications: 46L07 show english descriptions Operator spaces and completely bounded maps [See also 47L25] 46L07 - Operator spaces and completely bounded maps [See also 47L25]
 

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