Module structures on iterated duals of Banach algebras.

Bodaghi, A.; Ettefagh, M.; Eshaghi Gordji, M.; Medghalchi, A.R.

Displaying similar documents to “Module structures on iterated duals of Banach algebras.”

Amenability and the second dual of a Banach algebra

Frédéric Gourdeau (1997)

Studia Mathematica

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Amenability and the Arens product are studied. Using the Arens product, derivations from A are extended to derivations from A**. This is used to show directly that A** amenable implies A amenable.

Constructions preserving $n$ -weak amenability of Banach algebras

A. Jabbari, Mohammad Sal Moslehian, H. R. E. Vishki (2009)

Mathematica Bohemica

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A surjective bounded homomorphism fails to preserve $n$ -weak amenability, in general. We however show that it preserves the property if the involved homomorphism enjoys a right inverse. We examine this fact for certain homomorphisms on several Banach algebras.

A generalization of the $n$ -weak amenability of Banach algebras.

Mewomo, O.T., Akinbo, G. (2011)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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A characterization of weakly amenable Banach algebras

Niels Groenbaek (1989)

Studia Mathematica

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Derivations into iterated duals of Banach algebras

H. Dales, F. Ghahramani, N. Grønbæek (1998)

Studia Mathematica

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We introduce two new notions of amenability for a Banach algebra A. The algebra A is n-weakly amenable (for n ∈ ℕ) if the first continuous cohomology group of A with coefficients in the n th dual space $A^{(n)}$ is zero; i.e., $ℋ^{1} (A, A^{(n)}) = 0$ . Further, A is permanently weakly amenable if A is n-weakly amenable for each n ∈ ℕ. We begin by examining the relations between m-weak amenability and n-weak amenability for distinct m,n ∈ ℕ. We then examine when Banach algebras in various classes are n-weakly amenable;...

Problems concerning $n$ -weak amenability of a Banach algebra

Alireza Medghalchi, Taher Yazdanpanah (2005)

Czechoslovak Mathematical Journal

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In this paper we extend the notion of $n$ -weak amenability of a Banach algebra $𝒜$ when $n \in ℕ$ . Technical calculations show that when $𝒜$ is Arens regular or an ideal in $𝒜^{* *}$ , then $𝒜^{*}$ is an $𝒜^{(2 n)}$ -module and this idea leads to a number of interesting results on Banach algebras. We then extend the concept of $n$ -weak amenability to $n \in ℤ$ .

A generalization of the weak amenability of Banach algebras.

Bodaghi, A., Eshaghi Gordji, M., Medghalchi, A.R. (2008)

Banach Journal of Mathematical Analysis [electronic only]

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Module Connes amenability of hypergroup measure algebras

Massoud Amini (2015)

Open Mathematics

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We define the concept of module Connes amenability for dual Banach algebras which are also Banach modules with a compatible action. We distinguish a closed subhypergroup K0 of a locally compact measured hypergroup K, and show that, under different actions, amenability of K, M.K0/-module Connes amenability of M.K/, and existence of a normal M.K0/-module virtual diagonal are related.