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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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{
  "DOI": "10.1016/j.bulsci.2012.02.008", 
  "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 < 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.", 
  "author": [
    {
      "family": "Kaniuth", 
      "given": " Eberhard"
    }, 
    {
      "family": "Ulger", 
      "given": " Ali"
    }
  ], 
  "container_title": "BULLETIN DES SCIENCES MATHEMATIQUES", 
  "id": "17683", 
  "issue": "1", 
  "issued": {
    "date-parts": [
      [
        2013, 
        1, 
        1
      ]
    ]
  }, 
  "page": "45-62", 
  "title": "The structure of power bounded elements in Fourier-Stieltjes algebras of locally compact groups", 
  "type": "article-journal", 
  "volume": "137"
}
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