Essential character amenability of Banach algebras

Authors

  • R. Nasr-Isfahani

Keywords:

essential character amenability, Banach algebra

Abstract

For a Banach algebra ${\cal A}$ and a character $\phi$ on ${\cal A}$, we introduce and study the notion of essential $\phi$-amenability of ${\cal A}$. We give some examples to show that the class of essentially $\phi$-amenable Banach algebras is larger than that of $\phi$-amenable Banach algebras introduced by Kaniuth, Lau and Pym. Finally, we characterize essential $\phi$-amenability of various Banach algebras related to locally compact groups.

Published

2011-10-27

Issue

Vol. 84 No. 3 (2011)

Section

Articles
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