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Banach algebras on compact right topological groups

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Lau, A.T-M; Loy, Richard

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It is shown how the basic constructs of harmonic analysis, such as convolution, algebras of measures and functions (including Fourier-Stieltjes algebras) can be developed for compact Hausdorff right topological groups. In particular, the properties and structure of these new objects are compared with their classical analogues in the topological group case.

dc.contributor.authorLau, A.T-M
dc.contributor.authorLoy, Richard
dc.date.accessioned2015-12-13T22:45:44Z
dc.identifier.issn0022-1236
dc.identifier.urihttp://hdl.handle.net/1885/79928
dc.description.abstractIt is shown how the basic constructs of harmonic analysis, such as convolution, algebras of measures and functions (including Fourier-Stieltjes algebras) can be developed for compact Hausdorff right topological groups. In particular, the properties and structure of these new objects are compared with their classical analogues in the topological group case.
dc.publisherAcademic Press
dc.sourceJournal of Functional Analysis
dc.subjectKeywords: Amenability; Arens regularity; Banach algebra; Compact right topological group; Fourier-Stieltjes algebra; Measure algebra
dc.titleBanach algebras on compact right topological groups
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume225
dc.date.issued2005
local.identifier.absfor010108 - Operator Algebras and Functional Analysis
local.identifier.ariespublicationMigratedxPub8285
local.type.statusPublished Version
local.contributor.affiliationLau, A.T-M, University of Alberta
local.contributor.affiliationLoy, Richard, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage263
local.bibliographicCitation.lastpage300
local.identifier.doi10.1016/j.jfa.2005.04.006
dc.date.updated2015-12-11T10:24:54Z
local.identifier.scopusID2-s2.0-21744457282
CollectionsANU Research Publications

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