Publication: Power boundedness in Banach algebras associated with locally compact groups
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KU Authors
Co-Authors
Kaniuth, Eberhard
Lau, Anthony To-Ming
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Embargo Status
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Abstract
Let G be a locally compact group and B(G) the Fourier-Stieltjes algebra of G. Pursuing our investigations of power bounded elements in B(G), we study the extension property for power bounded elements and discuss the structure of closed sets in the coset ring of G which appear as 1-sets of power bounded elements. We also show that L-1-algebras of noncompact motion groups and of noncompact IN-groups with polynomial growth do not share the so-called power boundedness property. Finally, we give a characterization of power bounded elements in the reduced Fourier-Stieltjes algebra of a locally compact group containing an open subgroup which is amenable as a discrete group.
Source
Publisher
Institute of Mathematics of the Polish Academy of Sciences
Subject
Mathematics
Citation
Has Part
Source
Studia Mathematica
Book Series Title
Edition
DOI
10.4064/sm222-2-4