The Structure of -Module Amenable Banach Algebras

Mahmood Lashkarizadeh Bami, Mohammad Valaei and Massoud Amini

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

We study the concept of -module amenability of Banach algebras, which are Banach modules over another Banach algebra with compatible actions. Also, we compare the notions of -amenability and -module amenability of Banach algebras. As a consequence, we show that, if is an inverse semigroup with finite set of idempotents and is a commutative Banach -module, then is -module amenable if and only if is finite, when is an epimorphism. Indeed, we have generalized a well-known result due to Ghahramani et al. (1996).

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:176736

DOI: 10.1155/2014/176736

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