Analysis on a class of Banach algebras with applications to harmonic analysis on locally compact groups and semigroups
Anthony To-Ming Lau (1983)
Fundamenta Mathematicae
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Anthony To-Ming Lau (1983)
Fundamenta Mathematicae
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H. G. Dales, R. J. Loy
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In recent years, there have been several studies of various ’approximate’ versions of the key notion of amenability, which is defined for all Banach algebras; these studies began with work of Ghahramani and Loy in 2004. The present memoir continues such work: we shall define various notions of approximate amenability, and we shall discuss and extend the known background, which considers the relationships between different versions of approximate amenability. There are a number of open...
R. Nasr-Isfahani (2001)
Archivum Mathematicum
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A concept of amenability for an arbitrary Lau algebra called inner amenability is introduced and studied. The inner amenability of a discrete semigroup is characterized by the inner amenability of its convolution semigroup algebra. Also, inner amenable Lau algebras are characterized by several equivalent statements which are similar analogues of properties characterizing left amenable Lau algebras.
Nasr-Isfahani, R. (2004)
International Journal of Mathematics and Mathematical Sciences
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A. Lau, R. Loy, G. Willis (1996)
Studia Mathematica
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Several results are given about the amenability of certain algebras defined by locally compact groups. The algebras include the C*-algebras and von Neumann algebras determined by the representation theory of the group, the Fourier algebra A(G), and various subalgebras of these.
J.S. Ponizovskiï (1993)
Semigroup forum
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John Donnelly (2011)
Czechoslovak Mathematical Journal
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We construct an example of a cancellative amenable semigroup which is the ascending union of semigroups, none of which are amenable.
Nasr-Isfahani, A. (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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H.D. Junghenn (1982)
Semigroup forum
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