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march 2019 Pointwise version of contractibility of Banach algebras of locally compact groups
M. Soroushmehr
Bull. Belg. Math. Soc. Simon Stevin 26(1): 119-129 (march 2019). DOI: 10.36045/bbms/1553047232

Abstract

In this paper, we introduce the concept of pointwise compactness for a locally compact group $G,$ and among other results, we show that pointwise compactness of $G$ is a necessary condition for pointwise contractibility of $L^1(G)$ in a commutative case. Also, pointwise contractibility of measure algebras in a general case is studied. Finally, applying the results, we study the pointwise contractibility of Fourier and Fourier-Stieltjes algebras in a commutative case.

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M. Soroushmehr. "Pointwise version of contractibility of Banach algebras of locally compact groups." Bull. Belg. Math. Soc. Simon Stevin 26 (1) 119 - 129, march 2019. https://doi.org/10.36045/bbms/1553047232

Information

Published: march 2019
First available in Project Euclid: 20 March 2019

zbMATH: 07060319
MathSciNet: MR3934084
Digital Object Identifier: 10.36045/bbms/1553047232

Subjects:
Primary: 22B10, 43A20
Secondary: ‎43A07‎, 43A25, 54D05

Rights: Copyright © 2019 The Belgian Mathematical Society

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Vol.26 • No. 1 • march 2019
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