A simple example of a non-commutative Arens product.
Ignacio Zalduendo (1991)
Publicacions Matemàtiques
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A simple and natural example is given of a non-commuting Arens multiplication.
Ignacio Zalduendo (1991)
Publicacions Matemàtiques
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A simple and natural example is given of a non-commuting Arens multiplication.
Antonio Fernández López, Eulalia García Rus (1986)
Extracta Mathematicae
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Donald Z. Spicer (1973)
Colloquium Mathematicae
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W. Żelazko (1981)
Colloquium Mathematicae
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Bruno Iochum, Guy Loupias (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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T. K. Carne (1979-1980)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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R.S. Doran, Wayne Tiller (1988)
Manuscripta mathematica
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Mehdi Nemati (2015)
Colloquium Mathematicae
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We investigate some homological notions of Banach algebras. In particular, for a locally compact group G we characterize the most important properties of G in terms of some homological properties of certain Banach algebras related to this group. Finally, we use these results to study generalized biflatness and biprojectivity of certain products of Segal algebras on G.
W. Żelazko (1969)
Colloquium Mathematicae
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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...
V. Runde (2001)
Studia Mathematica
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We define a Banach algebra 𝔄 to be dual if 𝔄 = (𝔄⁎)* for a closed submodule 𝔄⁎ of 𝔄*. The class of dual Banach algebras includes all W*-algebras, but also all algebras M(G) for locally compact groups G, all algebras ℒ(E) for reflexive Banach spaces E, as well as all biduals of Arens regular Banach algebras. The general impression is that amenable, dual Banach algebras are rather the exception than the rule. We confirm this impression. We first show that under certain conditions...
George Maltese, Regina Wille-Fier (1988)
Studia Mathematica
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A. Jabbari, T. Mehdi Abad, M. Zaman Abadi (2011)
Colloquium Mathematicae
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Generalizing the concept of inner amenability for Lau algebras, we define and study the notion of φ-inner amenability of any Banach algebra A, where φ is a homomorphism from A onto ℂ. Several characterizations of φ-inner amenable Banach algebras are given.
El Harti, R. (2004)
International Journal of Mathematics and Mathematical Sciences
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