Bounds for Determinants of Linear Operators and their Applications Chapman & Hall/CRC Monographs and Research Notes in Mathematics Series
Auteur : Gil' Michael
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.
Date de parution : 02-2017
15.6x23.4 cm
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 184,47 €
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Mots-clés :
Discrete Time Lyapunov Equation; compact; Jensen Formula; finite; Finite Dimensional Operators; dimensional; Uniform Operator Topology; hilbert; Trace Class Operators; space; Orthogonal Normal Basis; banach; Volterra Operator; schmidt; Essential Spectrum; previous; Compact Operator; lemma; Nilpotent Part; nilpotent; Banach Space; Unique Positive Root; Hilbert Schmidt Operators; Invariant Subspace; Separable Hilbert Space; Finite Dimensional Case; Tensor Products; Weyl Inequalities; Nilpotent Operator; Maximal Chain; Hermitian Components; Schur Basis; Positive Definite Hermitian Matrix; Finite Rank Operators; Nuclear Operators