A bound for the remainder of the Hilbert-Schmidt series and other results on representation of solutions to the functional equation of the second kind with a self-adjoint compact operator as an infinite series

DOI10.1016/0898-1221(95)00046-2zbMath0830.47007OpenAlexW2056354013MaRDI QIDQ1894201

David S. Tselnik

Publication date: 4 February 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00046-2

zbMATH Keywords

series solutionself-adjoint operatorboundFredholm integral equation of the second kindfunctional equation of the second kindcompact self-adjoint linear operator on a Hilbert spaceremainder of the Hilbert-Schmidt series

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (1)

On representation and series expansions of \(F(z)\)

Cites Work

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• Constructing the Neumann series -- an example
• A simple bound for the remainder of the Neumann series in the case of a self-adjoint compact operator

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