Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4668890 | Bulletin des Sciences Mathématiques | 2013 | 18 Pages |
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 supn∈N‖un‖<∞. 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 (vn)n∈N, v∈B(G).
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