Traces and determinants of linear operators

zbMath0946.47013MaRDI QIDQ5917975

Seymour Goldberg, Israel Gohberg, N. Ya. Krupnik

Publication date: 21 February 2000

Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)

zbMATH Keywords

integral operatorfinite rank operatorFredholm determinantHilbert-Schmidt operatorsinversion formulasnuclear operatoroperator pencilregularized determinantsextension problemseigenvalues of nuclear operatorsHill's methodalgebras without approximation propertycasade connection of systemsCramer theorem for systems of linear equationsFloquet theory for Hill's equationGrothendieck trace theoremHilbert-Carleman determinantsintegral operators with continuous and Hilbert-SchmidtKoch-Riesz algebraLidskii trace theoremMennicken-Wagenfürer algebraPerelson algebrasPlemelj-Smithies formulasPoincaré determinant

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) General theory of linear operators (47A99)

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