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.
- ISBN13 9781351652315
- Publish Date 3 March 2017 (first published 22 February 2017)
- Publish Status Active
- Publish Country GB
- Publisher Taylor & Francis Ltd
- Imprint Chapman and Hall
- Format eBook (EPUB)
- Pages 224
- Language English