Kernels of a Class of Toeplitz Plus Hankel Operators with Piecewise Continuous Generating Functions

DOI10.1007/978-3-319-72456-0_15zbMath1405.47009OpenAlexW2804796642MaRDI QIDQ4611806

Viktor D. Didenko, Bernd Silbermann

Publication date: 22 January 2019

Published in: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-72456-0_15

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (3)

Invertibility issues for Toeplitz plus Hankel operators and their close relatives ⋮ On the spectrum of Hilbert matrix operator ⋮ The invertibility of Toeplitz plus Hankel operators with subordinated operators of even index

Cites Work

• Generalized inverses and solution of equations with Toeplitz plus Hankel operators
• Structure of kernels and cokernels of Toeplitz plus Hankel operators
• 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
• The \(C^ *\)-algebra generated by Toeplitz and Hankel operators with piecewise quasicontinuous symbols
• Spectral theory of approximation methods for convolution equations
• Index calculation for Toeplitz plus Hankel operators with piecewise quasi-continuous generating functions
• Some results on the invertibility of Toeplitz plus Hankel operators
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