Traces and determinants of linear operators

DOI10.1007/BF01191855zbMath0859.47008OpenAlexW2042286188MaRDI QIDQ5916379

N. Ya. Krupnik, Israel Gohberg, Seymour Goldberg

Publication date: 15 April 1997

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

Full work available at URL: https://doi.org/10.1007/bf01191855

zbMATH Keywords

determinantstracesCramer's rule

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) (Semi-) Fredholm operators; index theories (47A53)

Related Items (9)

Effective computation of traces, determinants, and \(\zeta\)-functions for Sturm-Liouville operators ⋮ Trace formulas for nuclear operators in spaces of Bochner integrable functions ⋮ 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 ⋮ On some application of algebraic quasinuclei to the determinant theory ⋮ Unnamed Item ⋮ Asymptotic and spectral analysis of the gyrokinetic-waterbag integro-differential operator in toroidal geometry

Cites Work

• Notes on infinite determinants of Hilbert space operators
• Traces of compact operators
• The determinant theory in Banach spaces
• An inequality among determinants
• Über die Konvergenz verallgemeinerter HILLscher Determinanten
• The Fredholm Theory of Linear Equations in Banach spaces
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• Unnamed Item
• Unnamed Item

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