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AMENABILITY AND ORLICZ FIGÀ-TALAMANCA HERZ ALGEBRAS

Part of: Commutative Banach algebras and commutative topological algebras Abstract harmonic analysis

Published online by Cambridge University Press:  05 October 2020

RATTAN LAL  and
N. SHRAVAN KUMAR Open the ORCID record for N. SHRAVAN KUMAR [Opens in a new window]
RATTAN LAL
Affiliation:
Department of Mathematics, Indian Institute of Technology Delhi, New Delhi 110016, India e-mail: rattanlaltank@gmail.com
N. SHRAVAN KUMAR*
Affiliation:
Department of Mathematics, Indian Institute of Technology Delhi, New Delhi 110016, India
*
e-mail: shravankumar@maths.iitd.ac.in
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Abstract

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In this paper, we characterize amenability of locally compact groups in terms of the properties of Orlicz Figà-Talamanca Herz algebras.

Keywords

Orlicz spaceOrlicz Figà-Talamanca Herz algebraamenable groupbounded approximate identityderivationsplittings

MSC classification

Primary: 43A07: Means on groups, semigroups, etc.; amenable groups 43A15: $L^p$-spaces and other function spaces on groups, semigroups, etc.
Secondary: 46J10: Banach algebras of continuous functions, function algebras
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 112 , Issue 2 , April 2022 , pp. 218 - 229
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Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© 2020 Australian Mathematical Publishing Association Inc.

Footnotes

Communicated by George Willis

The first author would like to thank the University Grants Commission, India, for the research grant.

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