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

  • Eghbal Ghaderi EMAIL logo , Rasoul Nasr-Isfahani EMAIL logo and Mehdi Nemati EMAIL logo
Published/Copyright: December 30, 2016
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Abstract

Let ๐”„ and ๐”… be two Banach algebras and let ฮธ be ๐”„ nonzero character on ๐”…. In this paper, we deal with the ฮธ-Lau product ๐”„ ร—ฮธ๐”… 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 ๐”„ ร—ฮธ๐”… and their relations with ๐”„ and ๐”….


The second authorโ€™s research was supported in part by a grant from IPM (No. 92430417).

The third author research was supported in part by a grant from IPM (No. 92470046).



(Communicated by Emanuel Chetcuti)


Acknowledgement

The authors would like to thank the referee of this paper for his thoughtful comments and useful suggestions. They acknowledge that this research was partially carried out at the IPM-Isfahan Branch.

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Received: 2013-12-8
Accepted: 2014-7-16
Published Online: 2016-12-30
Published in Print: 2016-12-1

ยฉ 2016 Mathematical Institute Slovak Academy of Sciences

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