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Power boundedness in Fourier and Fourier-Stieltjes algebras and other commutative Banach algebras

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dc.contributor.coauthorKaniuth, Eberhard
dc.contributor.coauthorLau, Anthony To-Ming
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorÜlger, Ali
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T23:29:38Z
dc.date.issued2011
dc.description.abstractWe study power boundedness in the Fourier and Fourier-Stieltjes algebras, A(G) and B(G), of a locally compact group G as well as in some other commutative Banach algebras. The main results concern the question of when all elements with spectral radius at most one in any of these algebras are power bounded, the characterization of power bounded elements in A(G) and B(G) and also the structure of the Gelfand transform of a single power bounded element.
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue8
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipGerman Research Foundation
dc.description.sponsorshipNSERC [MS 100]
dc.description.sponsorshipTUBA
dc.description.sponsorshipTUBITAK[107T896] Supported by the German Research Foundation.
dc.description.sponsorshipSupported by NSERC grant MS 100.
dc.description.sponsorshipSupported by the TUBA and TUBITAKIsbap project No. 107T896.
dc.description.volume260
dc.identifier.doi10.1016/j.jfa.2010.11.012
dc.identifier.eissn1096-0783
dc.identifier.issn0022-1236
dc.identifier.quartileQ1
dc.identifier.scopus2-s2.0-79551504094
dc.identifier.urihttps://doi.org/10.1016/j.jfa.2010.11.012
dc.identifier.urihttps://hdl.handle.net/20.500.14288/12081
dc.identifier.wos287334800006
dc.keywordsCommutative Banach algebra
dc.keywordsStructure space
dc.keywordsPower bounded element
dc.keywordsLocally compact group
dc.keywordsFourier algebra
dc.keywordsFiga-Talamanca-Herz algebra
dc.keywordsFourier-Stieltjes algebra
dc.keywordsSegal algebra
dc.keywordsDual algebra
dc.keywordsCoset ring
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofJournal of Functional Analysis
dc.subjectMathematics
dc.titlePower boundedness in Fourier and Fourier-Stieltjes algebras and other commutative Banach algebras
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorÜlger, Ali
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
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relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
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