Hilbert-Carleman and regularized determinants for linear operators

DOI10.1007/BF01195742zbMath0918.47020OpenAlexW2067927952MaRDI QIDQ1378066

Seymour Goldberg, Israel Gohberg, N. Ya. Krupnik

Publication date: 5 February 1998

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

Full work available at URL: https://doi.org/10.1007/bf01195742

zbMATH Keywords

spectral representationkernelHilbert-Schmidt operatorslinear integral operatorCramer's rulefinite rank operatorsextended traces of iterationsHilbert-Carleman determinant

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items (8)

Effective computation of traces, determinants, and \(\zeta\)-functions for Sturm-Liouville operators ⋮ Perturbations of regularized determinants of operators in a Banach space ⋮ Soliton solutions and their (in)stability for the focusing Davey–Stewartson II equation ⋮ An application of Plemelj-Smithies formulas to computing generalized inverses of Fredholm operators ⋮ On traces and modified Fredholm determinants for half-line Schrödinger operators with purely discrete spectra ⋮ Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves ⋮ A Jost-Pais-type reduction of Fredholm determinants and some applications ⋮ Asymptotic and spectral analysis of the gyrokinetic-waterbag integro-differential operator in toroidal geometry

Cites Work

• Classes of linear operators. Vol. I
• Notes on infinite determinants of Hilbert space operators
• Traces and determinants of linear operators
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