Module structures on iterated duals of Banach algebras.
Bodaghi, A., Ettefagh, M., Eshaghi Gordji, M., Medghalchi, A.R. (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Bodaghi, A., Ettefagh, M., Eshaghi Gordji, M., Medghalchi, A.R. (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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A. Jabbari, Mohammad Sal Moslehian, H. R. E. Vishki (2009)
Mathematica Bohemica
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A surjective bounded homomorphism fails to preserve -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.
Niels Groenbaek (1989)
Studia Mathematica
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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 is zero; i.e., . 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;...
Mina Ettefagh (2012)
Colloquium Mathematicae
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We show that under some conditions, 3-weak amenability of the (2n)th dual of a Banach algebra A for some n ≥ 1 implies 3-weak amenability of A.
Mewomo, O.T., Akinbo, G. (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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A. Blanco (2010)
Studia Mathematica
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We investigate the weak amenability of the Banach algebra ℬ(X) of all bounded linear operators on a Banach space X. Sufficient conditions are given for weak amenability of this and other Banach operator algebras with bounded one-sided approximate identities.
Nasr-Isfahani, R. (2004)
International Journal of Mathematics and Mathematical Sciences
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Alireza Medghalchi, Taher Yazdanpanah (2005)
Czechoslovak Mathematical Journal
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In this paper we extend the notion of -weak amenability of a Banach algebra when . Technical calculations show that when is Arens regular or an ideal in , then is an -module and this idea leads to a number of interesting results on Banach algebras. We then extend the concept of -weak amenability to .
M. Eshaghi Gordji, M. Filali (2007)
Studia Mathematica
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It is known that a Banach algebra inherits amenability from its second Banach dual **. No example is yet known whether this fails if one considers the weak amenability instead, but the property is known to hold for the group algebra L¹(G), the Fourier algebra A(G) when G is amenable, the Banach algebras which are left ideals in **, the dual Banach algebras, and the Banach algebras which are Arens regular and have every derivation from into * weakly compact. In this paper, we extend this...