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ANY DUAL OPERATOR SPACE IS WEAKLY LOCALLY REFLEXIVE

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  12 December 2023

ZHE DONG Open the ORCID record for ZHE DONG [Opens in a new window] ,
JINZE JIANG Open the ORCID record for JINZE JIANG [Opens in a new window]  and
YAFEI ZHAO Open the ORCID record for YAFEI ZHAO [Opens in a new window]
ZHE DONG
Affiliation:
School of Mathematical Sciences, Zhejiang University, Hangzhou 310058, PR China e-mail: [email protected]
JINZE JIANG
Affiliation:
School of Mathematical Sciences, Zhejiang University, Hangzhou 310058, PR China e-mail: [email protected]
YAFEI ZHAO*
Affiliation:
Department of Mathematics, Zhejiang International Studies University, Hangzhou 310023, PR China
*
e-mail: [email protected]
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Abstract

We introduce the notion of weakly local reflexivity in operator space theory and prove that any dual operator space is weakly locally reflexive.

Keywords

dual operator spaceweakly local reflexivity

MSC classification

Primary: 46L07: Operator spaces and completely bounded maps
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 110 , Issue 1 , August 2024 , pp. 158 - 160
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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Footnotes

Project partially supported by the National Natural Science Foundation of China (No. 11871423) and Zhejiang Provincial Natural Science Foundation of China (No. LQ21A010015).

References

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