Bounds for determinants of linear operators and their applications

Research output: Book/ReportBookpeer-review

11 Scopus citations

Abstract

This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces. Determinants of operators give us an important tool for solving linear equations and invertibility conditions for linear operators, enable us to describe the spectra, to evaluate the multiplicities of eigenvalues, etc. We derive upper and lower bounds, and perturbation results for determinants, and discuss applications of our theoretical results to spectrum perturbations, matrix equations, two parameter eigenvalue problems, as well as to differential, difference and functional-differential equations.

Original languageEnglish
PublisherCRC Press
Number of pages224
ISBN (Electronic)9781498796910
ISBN (Print)9781498796903
DOIs
StatePublished - 1 Jan 2017

ASJC Scopus subject areas

  • Mathematics (all)

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