Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-23T17:27:39.880Z Has data issue: false hasContentIssue false
  • English
  • Français

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: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

[1] Arens, R., The adjoint of a bilinear operation. Proc. Amer.Math. Soc. 2 (1951), 839–848.Google Scholar
[2] Dales, H. G., Ghahramani, F. and Gronbaek, N., Derivations into iterated duals of Banach algebras. Studia Math. 128 (1998), 19–54.Google Scholar
[3] Duncan, J. and Hosseiniun, S. A. R., The second dual of a Banach algebra. Proc. Roy. Soc. Edinburgh 84A(1979), 309–325.Google Scholar
[4] Johnson, B. E., Cohomology in Banach algebras. Mem. Amer.Math. Soc. 127, 1972.Google Scholar
[5] Zhang, Yong,Weak amenability of module extensions of Banach algebras. Preprint.Google Scholar