Banach algebras on compact right topological groups

It is shown how the basic constructs of harmonic analysis, such as convolution, algebras of measures and functions (including Fourier–Stieltjes algebras) can be developed for compact Hausdorff right topological groups. In particular, the properties and structure of these new objects are compared wit...

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Bibliographic Details
Published inJournal of functional analysis Vol. 225; no. 2; pp. 263 - 300
Main Authors Lau, A.T.-M., Loy, R.J.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.08.2005
Subjects
Amenability
Arens regularity
Banach algebra
Compact right topological group
Fourier–Stieltjes algebra
Measure algebra
Fourier–Stieltjes algebra
Measure algebra
Banach algebra
Arens regularity
Compact right topological group
secondary 43A20
Amenability
primary 46H20
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Summary:It is shown how the basic constructs of harmonic analysis, such as convolution, algebras of measures and functions (including Fourier–Stieltjes algebras) can be developed for compact Hausdorff right topological groups. In particular, the properties and structure of these new objects are compared with their classical analogues in the topological group case.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2005.04.006