Norm‐controlled inversion in smooth Banach algebras, II
From MaRDI portal
Publication:5169938
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
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
Cites Work
- Noncommutative approximation: inverse-closed subalgebras and off-diagonal decay of matrices
- Spectral invariance of Besov-Bessel subalgebras
- Convergence analysis of the finite section method and Banach algebras of matrices
- Asymptotic estimates for the entries of the matrices of inverse operators and harmonic analysis
- Wiener's lemma for infinite matrices with polynomial off-diagonal decay
- In search of the invisible spectrum
- Localization of frames, Banach frames, and the invertibility of the frame operator
- Inverse closed ultradifferential subalgebras
- Quasianalytic Banach function algebras
- Norm-controlled inversion in smooth Banach algebras, I
- Symmetry and inverse-closedness of matrix algebras and functional calculus for infinite matrices
- Decay Rates for Inverses of Band Matrices
- DenseQ-subalgebras of Banach andC*-algebras and unbounded derivations of Banach andC*-algebras
- Estimates for the entries of inverse matrices and the spectral analysis of linear operators
- On the maximal ideal space of Dales-Davie algebras of infinitely differentiable functions
- On Hypersingular Integrals and Lebesgue Spaces of Differentiable Functions