Sufficiency of Favard's condition for a class of band-dominated operators on the axis

DOI10.1016/j.jfa.2007.09.004zbMath1136.47009OpenAlexW2156783528MaRDI QIDQ2472873

Marko Lindner, Simon N. Chandler-Wilde

Publication date: 25 February 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.09.004

zbMATH Keywords

Fredholm operatorWiener algebralimit operatorFavard condition

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) (Semi-) Fredholm operators; index theories (47A53)

Related Items (15)

Minimal families of limit operators ⋮ On Banach algebras of band-dominated operators and their order structure ⋮ On the spectrum of operator families on discrete groups over minimal dynamical systems ⋮ Finite section method for aperiodic Schrödinger operators ⋮ Spectral approximation of generalized Schrödinger operators via approximation of subwords ⋮ Natural boundaries and spectral theory ⋮ Fredholm theory for band-dominated and related operators: a survey ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ An affirmative answer to a core issue on limit operators ⋮ Limit operators, collective compactness, and the spectral theory of infinite matrices ⋮ On semi-Fredholm band-dominated operators ⋮ A NOTE ON THE SPECTRUM OF BI-INFINITE BI-DIAGONAL RANDOM MATRICES ⋮ Note on Spectra of Non-Selfadjoint Operators Over Dynamical Systems ⋮ Eigenfunctions growth of \(\mathcal{R}\)-limits on graphs ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2

Cites Work

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• Noether property for multidimensional discrete convolution operators
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• Normal solvability of general linear elliptic problems
• Limit operators, collective compactness, and the spectral theory of infinite matrices
• ON THE INVERTIBILITY OF ALMOST PERIODIC OPERATORS
• ALMOST PERIODIC FUNCTIONS AND PARTIAL DIFFERENTIAL OPERATORS
• The Finite Section Method in the Space of Essentially Bounded Functions: An Approach Using Limit Operators
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