On Hulanicki and Barnes lemmas for \(p\)-Banach algebras

DOI10.1007/s12044-022-00718-yOpenAlexW4311781477WikidataQ124989296 ScholiaQ124989296MaRDI QIDQ2108923

Karishman B. Solanki, Prakash A. Dabhi

Publication date: 20 December 2022

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-022-00718-y

zbMATH Keywords

symmetrytwisted convolutionweightinverse-closedness\(p\)-Banach algebraBarnes' lemmaHulanicki's lemma

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Integral operators (47G10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) General theory of topological algebras with involution (46K05)

Cites Work

• Intrinsic localization of frames
• The abstruse meets the applicable: some aspects of time-frequency analysis
• Stability of localized operators
• Weighted group algebras on groups of polynomial growth
• Wiener's lemma: localization and various approaches
• On the spectrum of convolution operators on groups with polynomial growth
• Stability of Localized Integral Operators on WeightedL^pSpaces
• Sparsity and Spatial Localization Measures for Spatially Distributed Systems
• Symmetry and inverse-closedness of matrix algebras and functional calculus for infinite matrices
• Beurling algebra analogues of theorems of Wiener–Lévy–Żelazko and Żelazko
• Wiener’s lemma for twisted convolution and Gabor frames
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