Structure of kernels and cokernels of Toeplitz plus Hankel operators

DOI10.1007/s00020-014-2170-9zbMath1314.47041arXiv1309.7574OpenAlexW2082377202MaRDI QIDQ405698

Bernd Silbermann, Viktor D. Didenko

Publication date: 5 September 2014

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

Full work available at URL: https://arxiv.org/abs/1309.7574

zbMATH Keywords

invertibilitykernelcokernelToeplitz plus Hankel operator

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on function spaces (general) (47B38) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Linear composition operators (47B33)

Related Items (6)

Generalized Toeplitz plus Hankel operators: kernel structure and defect numbers ⋮ Generalized inverses and solution of equations with Toeplitz plus Hankel operators ⋮ Kernels of a Class of Toeplitz Plus Hankel Operators with Piecewise Continuous Generating Functions ⋮ Invertibility issues for Toeplitz plus Hankel operators and their close relatives ⋮ Invertibility issues for a class of Wiener-Hopf plus Hankel operators ⋮ The invertibility of Toeplitz plus Hankel operators with subordinated operators of even index

Cites Work

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• Non-commutative Gelfand theories. A tool-kit for operator theorists and numerical analysts
• A handy formula for the Fredholm index of Toeplitz plus Hankel operators
• Factorization of singular integral operators with a Carleman backward shift: the case of bounded measurable coefficients
• Banach algebras with symbol and singular integral operators. Transl. from the Russian by A. Iacob
• Factorization of measurable matrix functions. Ed. by Georg Heinig. Transl. from the Russian by Bernd Luderer. With a foreword by Bernd Silbermann. (Licensed ed.)
• Wiener-Hopf-Hankel operators for some wedge diffraction problems with mixed boundary conditions
• Invertibility theory for Toeplitz plus Hankel operators and singular integral operators with flip.
• Fredholm and invertibility theory for a special class of Toeplitz \(+\) Hankel operators
• Determinant computations for some classes of Toeplitz-Hankel matrices
• Index calculation for Toeplitz plus Hankel operators with piecewise quasi-continuous generating functions
• Some results on the invertibility of Toeplitz plus Hankel operators
• Painlevé V and time-dependent Jacobi polynomials
• Spectral theory of linear operators and spectral systems in Banach algebras

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