The Structure of φ‐Module Amenable Banach Algebras

Mahmood Lashkarizadeh Bami, Mohammad Valaei and Massoud Amini

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We study the concept of φ‐module amenability of Banach algebras, which are Banach modules over another Banach algebra with compatible actions. Also, we compare the notions of φ‐amenability and φ‐module amenability of Banach algebras. As a consequence, we show that, if S is an inverse semigroup with finite set E of idempotents and l1(S) is a commutative Banach l1(E)‐module, then l1(S)** is φ**‐module amenable if and only if S is finite, when φ∈Homl1El1S is an epimorphism. Indeed, we have generalized a well‐known result due to Ghahramani et al. (1996).

Date: 2014
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https://doi.org/10.1155/2014/176736

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:176736

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