The Finite Sections Approach to the Index Formula for Band-dominated Operators

DOI10.1007/978-3-7643-8893-5_11zbMath1166.47017OpenAlexW211922203MaRDI QIDQ3612918

Bernd Silbermann, Vladimir S. Rabinovich, Steffen Roch

Publication date: 11 March 2009

Published in: Recent Advances in Operator Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-8893-5_11

zbMATH Keywords

band-dominated operatorsfinite sectionsFredholm indexlimit operators

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Numerical solutions to equations with linear operators (65J10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Applications of functional analysis in numerical analysis (46N40)

Related Items (5)

The Algebra of Elimination ⋮ An index theorem for band-dominated operators with slowly oscillating coefficients (after Deundyak and Shteinberg) ⋮ The finite section method and stable subsequences ⋮ Banach algebras of structured matrix sequences ⋮ Limit operators, collective compactness, and the spectral theory of infinite matrices

Cites Work

• Fredholm theory and finite section method for band-dominated operators
• Fredholm indices of band-dominated operators
• Limit operators and their applications in operator theory
• Approximation numbers for the finite sections of Toeplitz operators with piecewise continuous symbols
• ON THE APPROXIMATION NUMBERS FOR THE FINITE SECTIONS OF BLOCK TOEPLITZ MATRICES
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