Strong pseudo-amenability of some Banach algebras

Amir Sahami

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arXiv · 1802.02012

Strong pseudo-amenability of some Banach algebras

Amir Sahami

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Abstract

In this paper we introduce a new notion of strong pseudo-amenability for Banach algebras. We study strong pseudo-amenability of some Matrix algebras. Using this tool, we characterize strong pseudo-amenability of $\ell^{1}(S)$, provided that $S$ is a uniformly locally finite semigroup. As an application we show that for a Brandt semigroup $S=M^{0}(G,I)$, $\ell^{1}(S)$ is strong pseudo-amenable if and only if $G$ is amenable and $I$ is finite. We give some examples to show the differences of strong pseudo-amenability and other classical notions of amenability.

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BibTeX RIS

Amir Sahami. 2018-02-06. Strong pseudo-amenability of some Banach algebras. https://arxiv.org/abs/1802.02012

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