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Weak Amenability of a Class of Banach Algebras

Published online by Cambridge University Press:  20 November 2018

Yong Zhang
Yong Zhang*
Affiliation:
Department of Mathematics University of Manitoba Winnipeg, Manitoba R3T 2N2, email: zhangy@cc.umanitoba.ca
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Abstract

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We show that, if a Banach algebra $\mathfrak{A}$ is a left ideal in its second dual algebra and has a left bounded approximate identity, then the weak amenability of $\mathfrak{A}$ implies the $\left( 2m+1 \right)$-weak amenability of $\mathfrak{A}$ for all $m\,\ge \,1$.

Keywords

46H2046H1046H25n-weak amenabilityleft idealsleft bounded approximate identity
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 44 , Issue 4 , 01 December 2001 , pp. 504 - 508
Copyright
Copyright © Canadian Mathematical Society 2001

References

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