Fredholm theory and finite section method for band-dominated operators

From MaRDI portal
Publication:1386743

DOI10.1007/BF01257877zbMath0909.47023OpenAlexW1963744335MaRDI QIDQ1386743

Bernd Silbermann, Vladimir S. Rabinovich, Steffen Roch

Publication date: 26 May 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01257877




Related Items

Minimal families of limit operatorsPseudodifferential operators on \(\mathbb{R}^n\) with variable shiftsFinite sections of band operators with slowly oscillating coefficients\(K\)-homology classes of elliptic uniform pseudodifferential operatorsFinite Sections of Band-dominated Operators on Discrete GroupsBanach strong Novikov conjecture for polynomially contractible groupsOn Banach algebras of band-dominated operators and their order structureNoncommutative approximation: inverse-closed subalgebras and off-diagonal decay of matricesLimit operators techniques on general metric measure spaces of bounded geometryOn the spectrum of operator families on discrete groups over minimal dynamical systemsFredholmness of Toeplitz operators on the Fock spaceInverse-closedness of the subalgebra of locally nuclear operatorsCoburn's lemma and the finite section method for random Jacobi operatorsFinite section method for aperiodic Schrödinger operatorsThe essential spectrum of Toeplitz operators on the unit ballBoundary integral equations on unbounded rough surfaces: Fredholmness and the finite section methodHalf-line compressions and finite sections of discrete Schrödinger operators with integer-valued potentialsFredholm theory for band-dominated and related operators: a surveyMemory estimation of inverse operatorsExtreme cases of limit operator theory on metric spacesRelative commutant pictures of Roe algebrasSufficiency of Favard's condition for a class of band-dominated operators on the axisArveson Dichotomy and Essential FractalityOn the essential spectrum of Schrödinger operators on treesAn affirmative answer to a core issue on limit operatorsThe essential spectrum of Schrödinger, Jacobi, and CMV operatorsThe finite section method and stable subsequencesOn algebras of two dimensional singular integral operators with homogeneous discontinuities in symbolsBand-dominated operators with operator-valued coefficients, their Fredholm properties and finite sectionsAn almost periodic noncommutative Wiener's LemmaAlgebra of singular integral operators with a Carleman backward slowly oscillating shiftConvergence analysis of the finite section method and Banach algebras of matricesSpectral and propagation results for magnetic Schrödinger operators; a \(C^*\)-algebraic frameworkOn the essential spectrum of elliptic differential operatorsThe Finite Sections Approach to the Index Formula for Band-dominated OperatorsEssential pseudospectra and essential norms of band-dominated operatorsBanach algebras of structured matrix sequencesOne-sided invertibility of discrete operators with bounded coefficientsThe Finite Section Method in the Space of Essentially Bounded Functions: An Approach Using Limit OperatorsLimit operators, collective compactness, and the spectral theory of infinite matricesOn semi-Fredholm band-dominated operatorsLimit operator theory for groupoidsMore Than 40 Years of Algebraic Techniques in Numerical AnalysisA NOTE ON THE SPECTRUM OF BI-INFINITE BI-DIAGONAL RANDOM MATRICESNote on Spectra of Non-Selfadjoint Operators Over Dynamical SystemsLOCALIZATIONS AT INFINITY AND ESSENTIAL SPECTRUM OF QUANTUM HAMILTONIANS I: GENERAL THEORYReconstruction of Input Signals in Time-Varying FiltersSpectral invariance of Besov-Bessel subalgebrasEigenfunctions growth of \(\mathcal{R}\)-limits on graphsIdeals of band-dominated operators



Cites Work