Generalized notion of character amenability

Subject Areas : Functional analysis

A. Bodaghi ¹ (Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran)
F. Anousheh ² (Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran)
S. Etemad ³ (Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran)

Received: 2013-09-21 Accepted : 2013-12-20 Published : 2013-12-24

Keywords: amenability, contractibility, n-homomorphism,

Abstract :

This paper continues the investigation of the rst author begun in part one. The hereditary properties of n-homomorphism amenability for Banach algebras are investigated and the relations between n-homomorphism amenability of a Banach algebra and its ideals are found. Analogous to the character amenability, it is shown that the tensor product of two unital Banach algebras is n-homomorphism amenable if and only if each one is n-homomorphism amenable.

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