Continuity of derivations on semi-prime Banach algebras.
Dumitru D. Draghia (1995)
Extracta Mathematicae
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Dumitru D. Draghia (1995)
Extracta Mathematicae
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Ferdinand Beckhoff (1993)
Mathematica Slovaca
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Donald Z. Spicer (1973)
Colloquium Mathematicae
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Feinstein, J.F. (1999)
International Journal of Mathematics and Mathematical Sciences
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Niels Groenbaek (1989)
Studia Mathematica
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Ngo, Viet (1990)
International Journal of Mathematics and Mathematical Sciences
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Bruno Iochum, Guy Loupias (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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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.
Dumitru D. Draghia (1995)
Extracta Mathematicae
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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...