Approximation in Banach space representations of compact groups

DOI10.1090/proc/15247zbMath1467.43006OpenAlexW3054633978MaRDI QIDQ5130860

Mahmoud Filali, Mehdi Sangani Monfared

Publication date: 29 October 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15247

zbMATH Keywords

measure algebracompact groupsapproximation by trigonometric polynomialshomogeneous Banach spacesBanach space representationspseudo measures

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of topological algebras (46H15) Representations of group algebras (22D20) Other representations of locally compact groups (22D12) Harmonic analysis on general compact groups (43A77) (L^1)-algebras on groups, semigroups, etc. (43A20)

Cites Work

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• Convolution operators on groups
• Representations of a compact group on a Banach space
• Linear spaces with a compact group of operators
• Characterization of homogeneous spaces and their norms
• Translation invariant operators in \(L^ p\)
• \(L^ 1\)-algebras and Segal algebras
• Harmonic synthesis for subgroups
• Fourier and Fourier-Stieltjes Algebras on Locally Compact Groups
• Approximate weak amenability, derivations and Arens regularity of Segal algebras
• Weak amenability of certain classes of Banach algebras without bounded approximate identities
• L'algèbre de Fourier d'un groupe localement compact

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