Ergodic properties of convolution operators in group algebras

DOI10.4064/cm8214-6-2020OpenAlexW3128989896WikidataQ114022005 ScholiaQ114022005MaRDI QIDQ4997566

Hayri Topal, Heybetkulu S. Mustafayev

Publication date: 29 June 2021

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm8214-6-2020

zbMATH Keywords

convergencemeasure algebragroup algebraconvolution operatorlocally compact abelian group

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Spectral synthesis on groups, semigroups, etc. (43A45) Group algebras of locally compact groups (22D15) Measure algebras on groups, semigroups, etc. (43A10) (L^1)-algebras on groups, semigroups, etc. (43A20)

Cites Work

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• Distance formulas in group algebras
• Almost everywhere convergence of powers of some positive \(L_p\) contractions
• Amenability and bounded approximate identities in ideals of A(G)
• Sur le comportement asymptotique des puissances de convolution d'une probabilité
• Ergodic theorems. With a supplement by Antoine Brunel
• Sur un problème de I. Glicksberg: Les idéaux fermés de type fini de \(M(G)\)
• Ergodic theorems for convolutions of a measure on a group
• Ideals with bounded approximate identities in Fourier algebras.
• Convergence of iterates of convolution operators in \(L^p\) spaces
• Multipliers of commutative Banach algebras, power boundedness and Fourier-Stieltjes algebras
• Éléments ergodiques et totalement ergodiques dans $L^{∞}(Γ)$
• On Iterates of Convolutions
• Almost everywhere convergence of convolution powers
• On Projections of L ^∞ (G ) onto Translation-Invariant Subspaces
• Measures with Bounded Convolution Powers
• On the ergodic theorems (I) (Generalized ergodic theorems)
• On the ergodic theorems (II) (Ergodic theory of continued fractions)

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