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Mathematica Slovaca

Editor-in-Chief: Pulmannová, Sylvia

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Volume 64, Issue 4


Lp-spaces on locally compact groups

H. Samea
Published Online: 2014-09-07 | DOI: https://doi.org/10.2478/s12175-014-0245-3


In this paper, some relations between L p-spaces on locally compact groups are found. Applying these results proves that for a locally compact group G, the convolution Banach algebras L p(G) ∩ L 1(G) (1 < p ≤ ∞), and A p(G) ∩ L 1(G) (1 < p < ∞) are amenable if and only if G is discrete and amenable.

MSC: Primary 22A15, 22A20; Secondary 43A10, 43A20, 46H20

Keywords: locally compact group; Segal algebra; derivation; amenable Banach algebra

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About the article

Published Online: 2014-09-07

Published in Print: 2014-08-01

Citation Information: Mathematica Slovaca, Volume 64, Issue 4, Pages 871–878, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.2478/s12175-014-0245-3.

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© 2014 Mathematical Institute, Slovak Academy of Sciences. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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