Generalization of the determinants for trace-potent linear operators

Israel Gohberg, Seymour Goldberg, Naum Krupnik

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Suppose A is a bounded linear operator on a separable Hilbert space with Am of trace class for some positive integer m. A generalized determinant for the operator I - λA is defined, its properties studied and this determinant is then used to exhibit an inversion formula for I - λA.

Original languageEnglish
Pages (from-to)441-453
Number of pages13
JournalIntegral Equations and Operator Theory
Volume40
Issue number4
DOIs
StatePublished - 2001

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