The Fredholm index of locally compact band-dominated operators on \(L^p (\mathbb{R})\)

DOI10.1007/s00020-006-1456-yzbMath1158.47008arXivmath/0604128OpenAlexW2061522191MaRDI QIDQ2464696

Steffen Roch, Vladimir S. Rabinovich

Publication date: 17 December 2007

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

Full work available at URL: https://arxiv.org/abs/math/0604128

zbMATH Keywords

band-dominated operatorsconvolution operatorsFredholm indexlimit operatorsWiener-Hopf operators

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Integral operators (47G10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (7)

\(L^p\)-theory of boundary integral operators for domains with unbounded smooth boundary ⋮ Fredholm theory for band-dominated and related operators: a survey ⋮ Quasi-banded operators, convolutions with almost periodic or quasi-continuous data, and their approximations ⋮ Sufficiency of Favard's condition for a class of band-dominated operators on the axis ⋮ An affirmative answer to a core issue on limit operators ⋮ An index theorem for band-dominated operators with slowly oscillating coefficients (after Deundyak and Shteinberg) ⋮ Limit operators, collective compactness, and the spectral theory of infinite matrices

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