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THE NON-COMMUTATIVE SCHWARTZ SPACE IS WEAKLY AMENABLE

Part of: Topological algebras, normed rings and algebras, Banach algebras Linear spaces and algebras of operators Topological (rings and) algebras with an involution

Published online by Cambridge University Press:  10 June 2016

KRZYSZTOF PISZCZEK
KRZYSZTOF PISZCZEK*
Affiliation:
Faculty of Mathematics and Computer Science, Adam Mickiewicz University in Poznań, ul. Umultowska 87, 61-614 Poznań, Poland e-mail: kpk@amu.edu.pl
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Abstract

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We show in a straightforward way that the non-commutative Schwartz space is weakly amenable. At the end, we leave an open problem.

MSC classification

Primary: 46H20: Structure, classification of topological algebras 46K05: General theory of topological algebras with involution 47L10: Algebras of operators on Banach spaces and other topological linear spaces
Secondary: 46H05: General theory of topological algebras

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 59 , Issue 2 , May 2017 , pp. 437 - 443
Copyright
Copyright © Glasgow Mathematical Journal Trust 2016 

References

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