Generalization of the determinants for trace-potent linear operators

Authors
Gohberg, I Goldberg, S Krupnik, N
Citation
I. Gohberg et al., Generalization of the determinants for trace-potent linear operators, INTEG EQ OP, 40(4), 2001, pp. 441-453
Citations number
6
Categorie Soggetti
Mathematics
Journal title
INTEGRAL EQUATIONS AND OPERATOR THEORY
ISSN journal
0378620X → ACNP
Volume
40
Issue
4
Year of publication
2001
Pages
441 - 453
Database
ISI
SICI code
0378-620X(200108)40:4<441:GOTDFT>2.0.ZU;2-M
Abstract
Suppose A is a bounded linear operator on a separable Hilbert space with A( m) of trace class for some positive integer m. A generalized determinant fo r the operator I - lambdaA is defined, its properties studied and this dete rminant is then used to exhibit an inversion formula for I - lambdaA.