Banach algebras on compact right topological groups

A. T.M. Lau; Ric J. Loy

doi:10.1016/j.jfa.2005.04.006

Banach algebras on compact right topological groups

A. T.M. Lau, Ric J. Loy^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	263-300
Number of pages	38
Journal	Journal of Functional Analysis
Volume	225
Issue number	2
DOIs	https://doi.org/10.1016/j.jfa.2005.04.006
Publication status	Published - 15 Aug 2005

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10.1016/j.jfa.2005.04.006

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title = "Banach algebras on compact right topological groups",

abstract = "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.",

keywords = "Amenability, Arens regularity, Banach algebra, Compact right topological group, Fourier-Stieltjes algebra, Measure algebra",

author = "Lau, {A. T.M.} and Loy, {Ric J.}",

year = "2005",

month = aug,

day = "15",

doi = "10.1016/j.jfa.2005.04.006",

language = "English",

volume = "225",

pages = "263--300",

journal = "Journal of Functional Analysis",

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T1 - Banach algebras on compact right topological groups

AU - Lau, A. T.M.

AU - Loy, Ric J.

PY - 2005/8/15

Y1 - 2005/8/15

N2 - 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.

AB - 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.

KW - Amenability

KW - Arens regularity

KW - Banach algebra

KW - Compact right topological group

KW - Fourier-Stieltjes algebra

KW - Measure algebra

UR - http://www.scopus.com/inward/record.url?scp=21744457282&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2005.04.006

DO - 10.1016/j.jfa.2005.04.006

M3 - Article

SN - 0022-1236

VL - 225

SP - 263

EP - 300

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

ER -

Banach algebras on compact right topological groups

Abstract

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