Pseudo-amenability and pseudo-contractibility for certain products of Banach algebras

Author:

Ghaderi Eghbal1,Nasr-Isfahani Rasoul1,Nemati Mehdi2

Affiliation:

1. Department of Mathematical Sciences Isfahan University of Technology P. O. Box 84156-83111, Isfahan Iran

2. School of Mathematics Institute for Research in Fundamental Science (IPM) Tehran, P. O. Box: 19395-5746 Iran

Abstract

Abstract Let 𝔄 and 𝔅 be two Banach algebras and let θ be 𝔄 nonzero character on 𝔅. In this paper, we deal with the θ-Lau product 𝔄 × θ 𝔅 that was first introduced by A. T. Lau for certain Banach algebras known as Lau algebras and recently by M. S. Monfared for all Banach algebras; we study pseudo-amenability, pseudo-contractibility and character pseudo-amenability of 𝔄 × θ 𝔅 and their relations with 𝔄 and 𝔅.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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