phi-Amenable and phi-biflat Banach algebras
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Abstract:
In this paper we study the concept of ph-biatness ofa Banach algebra A, where ph is a continuous homomorphism on A.We prove that if ph is a continuous epimorphism on A and A hasa bounded approximate identity and A is ph- biat, then A is ph-amenable. In the case where ph is an isomorphism on A we showthat the ph- amenability of A implies its ph-biatness.
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Journal title
volume 39 issue 3
pages 507- 515
publication date 2013-07-01
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