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Condition $C_{\hat{\ }}^{'}$, of Operator Spaces

Published online by Cambridge University Press:  20 November 2018

Yuanyi Wang
Yuanyi Wang*
Affiliation:
School of Information Engineering, College of Science and Technology, Ningbo University, Ningbo, China e-mail: wngyny@163.com
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Abstract

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In this paper, we study condition $C_{\hat{\ }}^{'}$, which is a projective tensor product analogue of condition $C'$. We show that the finite-dimensional $\text{OLLP}$ operator spaces have condition $C_{\hat{\ }}^{'}$, and ${{M}_{n}}\left( n\,>\,2 \right)$ does not have that property.

Keywords

46L07operator spacelocal theorytensor product
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 60 , Issue 1 , 01 March 2017 , pp. 217 - 224
Copyright
Copyright © Canadian Mathematical Society 2017

References

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