# \phi-Amenable and \phi-biflat Banach algebras

Document Type : Research Paper

Authors

1 Depertment of Mathematics-University of Isfahan

2 Department of Mathematics, University of Isfahan

Abstract

In this paper we study the concept of ph-biatness of
a Banach algebra A, where ph is a continuous homomorphism on A.
We prove that if ph is a continuous epimorphism on A and A has
a bounded approximate identity and A is ph- bi
at, then A is ph-amenable. In the case where ph is an isomorphism on A we show
that the ph- amenability of A implies its ph-bi
atness.

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Main Subjects

### History

• Receive Date: 18 April 2011
• Revise Date: 21 April 2012
• Accept Date: 27 April 2012
• First Publish Date: 01 July 2013