Bounds for Determinants of Linear Operators and their Applications

1st Edition

Michael Gil'

Chapman and Hall/CRC
Published February 22, 2017
Reference - 224 Pages
ISBN 9781498796903 - CAT# K30411
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

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Summary

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.