Counting negative eigenvalues of a Hilbert-Schmidt operator via sign changes of a determinant

DOI10.1007/BF01194928zbMath0732.47019OpenAlexW2089419545MaRDI QIDQ808405

Seymour Goldberg, Israel Gohberg

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf01194928

zbMATH Keywords

integral operatorsnegative eigenvaluesJacobi-Sturm rule

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Eigenvalue problems for linear operators (47A75) Linear operators on function spaces (general) (47B38)

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Renormalized oscillation theory for Hamiltonian systems

Cites Work

• Semi-separable operators along chains of projections and systems
• A Continuous Analogue of Sturm Sequences in the Context of Sturm–Liouville Equations
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