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Titlebook: Amenable Banach Algebras; A Panorama Volker Runde Book 2020 Springer Science+Business Media, LLC, part of Springer Nature 2020 Amenability

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https://doi.org/10.1007/978-3-663-09693-1anach algebras are, among others, von Neumann algebras, the measure algebra .(.). and the Fourier–Stieltjes algebra .(.) of a locally compact group ., or the algebras . of all bounded linear operators on a reflexive Banach space ..
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Frank Ulrich Rückert,Michael Sauerlgebras: as it ignores the dual space structure of dual Banach algebras, it is too strong to encompass sufficiently many interesting examples. The “right” notion of amenability for dual Banach algebras is Connes-amenability, which takes the additional structure into account.
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Amenable Banach Algebras,nd F. Perhaps the most important one is the group algebra .. It is a complete invariant for .: if . and . are locally compact groups such that . and . are isometrically isomorphic, then . and . are topologically isomorphic, i.e., all information about . is already encoded in ..
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Dual Banach Algebras,anach algebras are, among others, von Neumann algebras, the measure algebra .(.). and the Fourier–Stieltjes algebra .(.) of a locally compact group ., or the algebras . of all bounded linear operators on a reflexive Banach space ..
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Examples,ative .-algebras, the algebras of compact operators on certain classical sequence spaces, and we can use standard constructions like quotients, tensor products, .-direct sums, etc., to get further examples from the old ones.
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Dual Banach Algebras,anach algebras are, among others, von Neumann algebras, the measure algebra .(.). and the Fourier–Stieltjes algebra .(.) of a locally compact group ., or the algebras . of all bounded linear operators on a reflexive Banach space ..
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