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The structure of power bounded elements in Fourier-Stieltjes algebras of locally compact groups

Kaniuth, Eberhard; Ulger, Ali


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/17683</identifier>
  <creators>
    <creator>
      <creatorName>Kaniuth, Eberhard</creatorName>
      <givenName>Eberhard</givenName>
      <familyName>Kaniuth</familyName>
      <affiliation>Univ Paderborn, Inst Math, D-33095 Paderborn, Germany</affiliation>
    </creator>
    <creator>
      <creatorName>Ulger, Ali</creatorName>
      <givenName>Ali</givenName>
      <familyName>Ulger</familyName>
      <affiliation>Koc Univ, Dept Math, TR-34450 Istanbul, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>The Structure Of Power Bounded Elements In Fourier-Stieltjes Algebras Of Locally Compact Groups</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2013</publicationYear>
  <dates>
    <date dateType="Issued">2013-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/17683</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1016/j.bulsci.2012.02.008</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">Let G be an arbitrary locally compact group and B(G) its Fourier-Stieltjes algebra. An element u of B(G) is called power bounded if sup(n is an element of N) parallel to u(n)parallel to &amp;lt; infinity. We present a detailed analysis of the structure of power bounded elements of B(G) and characterize them in terms of sets in the coset ring of G and w*-convergence of sequences (v(n))(n is an element of N), v is an element of B(G). (C) 2012 Elsevier Masson SAS. All rights reserved.</description>
  </descriptions>
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