The structure of a subclass of amenable Banach algebras.
El Harti, R. (2004)
International Journal of Mathematics and Mathematical Sciences
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El Harti, R. (2004)
International Journal of Mathematics and Mathematical Sciences
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Wong, Pak-Ken (1994)
International Journal of Mathematics and Mathematical Sciences
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Al-Moajil, Abdullah H. (1982)
International Journal of Mathematics and Mathematical Sciences
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Alistair Bird (2010)
Banach Center Publications
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The James-Schreier spaces, defined by amalgamating James' quasi-reflexive Banach spaces and Schreier space, can be equipped with a Banach-algebra structure. We answer some questions relating to their cohomology and ideal structure, and investigate the relations between them. In particular we show that the James-Schreier algebras are weakly amenable but not amenable, and relate these algebras to their multiplier algebras and biduals.
Takahasi, Sin-Ei (1984)
International Journal of Mathematics and Mathematical Sciences
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Antonio Fernández López, Eulalia García Rus (1986)
Extracta Mathematicae
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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;...
P. Biström, J. A. Jaramillo, M. Lindström (1993)
Extracta Mathematicae
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In this paper weare interested in subsets of a real Banach space on which different classes of functions are bounded.
Leoni Dalla, S. Giotopoulos, Nelli Katseli (1989)
Studia Mathematica
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Matthew Daws (2007)
Studia Mathematica
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We study representations of Banach algebras on reflexive Banach spaces. Algebras which admit such representations which are bounded below seem to be a good generalisation of Arens regular Banach algebras; this class includes dual Banach algebras as defined by Runde, but also all group algebras, and all discrete (weakly cancellative) semigroup algebras. Such algebras also behave in a similar way to C*- and W*-algebras; we show that interpolation space techniques can be used in place of...
B. Yood (2004)
Studia Mathematica
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Let A be a Banach *-algebra with an identity, continuous involution, center Z and set of self-adjoint elements Σ. Let h ∈ Σ. The set of v ∈ Σ such that (h + iv)ⁿ is normal for no positive integer n is dense in Σ if and only if h ∉ Z. The case where A has no identity is also treated.
Bruno Iochum, Guy Loupias (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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