Amenable Banach Algebras

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Jean-Paul Pier, "Amenable Banach Algebras" English | ISBN: 0582014808 | 1988 | 176 pages | Djvu | 1 MB Preface Among the locally compact groups interest focused on an important class containing all locally compact abelian groups and all compact groups, the class of amenable groups. It may be described by a lot of properties from various mathematical fields; most often these characterizations express some kind of invariance property or quasi-invariance property. For instance, the locally compact group G is amenable if and only if, on the space of bounded continuous functions defined on G, or equivalently, on the space of essentially bounded functions defined on G, with respect to a left Haar measure A, there exists a mean, i.e., a state, the values of which are invariant by left translations on the group. The class of amenable groups is closed for the passages to closed subgroups, to quotient groups, and also for extensions... Buy Premium To Support Me & Get Resumable Support & Max Speed

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