Title: 3-HOMOMORPHISM AMENABILITY OF BANACH ALGEBRAS
Abstract:In the current work, the notion of 3-homomorphism amenability of Banach algebras is introduced. The hereditary properties of this new concept for Banach algebras are investigated and the relations bet...In the current work, the notion of 3-homomorphism amenability of Banach algebras is introduced. The hereditary properties of this new concept for Banach algebras are investigated and the relations between 3-homomorphism amenability of a Banach algebra and its ideals are found. The equivalence of 3-homomorphism amenability and the concept of the (right) character amenability is proved. As a consequence, 3-homomorphism amenability for either of the group algebra L 1 (G) or the Fourier algebra A(G) is equivalent to the amenability of the underlying group G.Read More
Publication Year: 2015
Publication Date: 2015-01-01
Language: en
Type: article
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Cited By Count: 1
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