Norm‐controlled inversion in smooth Banach algebras, II

DOI10.1002/mana.201200312zbMath1303.41019arXiv1211.2974OpenAlexW1955681146MaRDI QIDQ5169938

Andreas Klotz, Karlheinz Gröchening

Publication date: 16 July 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.2974

zbMATH Keywords

Besov spaceDales-Davie algebranorm controlBessel algebrainverse-closed Banach algebra

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Functional calculus for linear operators (47A60) Commutators, derivations, elementary operators, etc. (47B47) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Functional calculus in topological algebras (46H30) Linear spaces and algebras of operators (47L99)

Related Items

Polynomial control on stability, inversion and powers of matrices on simple graphs ⋮ On convolution dominated operators ⋮ Norm-controlled inversion in Banach algebras of integral operators ⋮ Polynomial control on weighted stability bounds and inversion norms of localized matrices on simple graphs ⋮ Quasi-Hermitian locally compact groups are amenable ⋮ Wiener's lemma: localization and various approaches ⋮ Norm-controlled inversion of Banach algebras of infinite matrices ⋮ Norm-controlled inversion in weighted convolution algebras ⋮ Groupoids and Hermitian Banach *-algebras ⋮ Invertibility of frame operators on Besov-type decomposition spaces

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