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Winter 2018 On a class of Banach algebras associated to harmonic analysis on locally compact groups and semigroups
Anthony To-Ming Lau, Hung Le Pham
Adv. Oper. Theory 3(1): 231-246 (Winter 2018). DOI: 10.22034/aot.1702-1115

Abstract

The purpose of this paper is to present some old and recent results for the class of $F$-algebras which include most classes of Banach algebras that are important in abstract harmonic analysis. We also introduce a subclass of the class of $F$-algebras, called normal $F$-algebras, that captures better the measure algebras and the (reduced) Fourier-Stieltjes algebras, and use this to give new characterisations the reduced Fourier-Stieltjes algebras of discrete groups.

Citation

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Anthony To-Ming Lau. Hung Le Pham. "On a class of Banach algebras associated to harmonic analysis on locally compact groups and semigroups." Adv. Oper. Theory 3 (1) 231 - 246, Winter 2018. https://doi.org/10.22034/aot.1702-1115

Information

Received: 11 February 2017; Accepted: 29 June 2017; Published: Winter 2018
First available in Project Euclid: 5 December 2017

zbMATH: 1376.43004
MathSciNet: MR3730347
Digital Object Identifier: 10.22034/aot.1702-1115

Subjects:
Primary: 22D25, 43A30
Secondary: 22D10, 46J05

Rights: Copyright © 2018 Tusi Mathematical Research Group

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Vol.3 • No. 1 • Winter 2018
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