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

DOI10.1016/0893-9659(94)90097-3zbMath0819.47030OpenAlexW1988814949WikidataQ126351311 ScholiaQ126351311MaRDI QIDQ1343553

David S. Tselnik

Publication date: 17 August 1995

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(94)90097-3

zbMATH Keywords

compact operatorFredholm integral equation of the second kindestimate for the remainder of the partial sums of the Neumann seriesfunctional equation of the second kind

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) Fredholm integral equations (45B05)

Related Items (5)

Multiple limit cycles for three dimensional Lotka-Volterra equations ⋮ 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 ⋮ On representation and series expansions of \(F(z)\) ⋮ Stability of a linear nonautonomous difference equation with bounded delays ⋮ Stability of semi-autonomous difference equations

Cites Work

• Stability of solutions of linear nonautonomous difference equations
• Unnamed Item

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