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

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Kaniuth, Eberhard

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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).

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Elsevier Science Bv

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Mathematics

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Bulletin Des Sciences Mathematiques

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10.1016/j.bulsci.2012.02.008

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