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Bounds for Determinants of Linear Operators and their Applications, Hardback Book

Bounds for Determinants of Linear Operators and their Applications Hardback

Part of the Chapman & Hall/CRC Monographs and Research Notes in Mathematics series

Hardback

Description

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.

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