Department of Mathematics2024-11-1020130007-449710.1016/j.bulsci.2012.02.0082-s2.0-84872395395http://dx.doi.org/10.1016/j.bulsci.2012.02.008https://hdl.handle.net/20.500.14288/16964Let 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).MathematicsJournal Article1952-4773314375100003Q38777