Lavoisier S.A.S.
14 rue de Provigny
94236 Cachan cedex
FRANCE

Heures d'ouverture 08h30-12h30/13h30-17h30
Tél.: +33 (0)1 47 40 67 00
Fax: +33 (0)1 47 40 67 02


Url canonique : www.lavoisier.fr/livre/mathematiques/bounds-for-determinants-of-linear-operators-and-their-applications/descriptif_4048378
Url courte ou permalien : www.lavoisier.fr/livre/notice.asp?ouvrage=4048378

Bounds for Determinants of Linear Operators and their Applications Chapman & Hall/CRC Monographs and Research Notes in Mathematics Series

Langue : Anglais

Auteur :

Couverture de l’ouvrage Bounds for Determinants of Linear Operators and their Applications

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.

Preliminaries. Determinants of Schatten-Von Neumann Operators. Determinants of Nakano Type Operators. Determinants of Orlicz Type Operators. Determinants of p-summing Operators. Multiplicative Representations of Resolvents. Inequalities Between Determinants and Resolvents. Bounds for Eigenvalues and Determinants Via Self-commutators.Discrete Spectra of Compactly Perturbed Bounded Operators. Operators on Tensor Products of Euclidean Spaces and Matrix Equations. Two-parameter Matrix Eigenvalue Problem. Differential, Difference and Functional-differential equations
Before his retirement in 2009, Michael I. Gil′ was a professor at the Ben Gurion University of the Negev, Beer Sheva, Israel. He has authored more than 250 articles in scientific journals and 9 books.