Bounds for Determinants of Linear Operators and Their Applications Contributor(s): Gil', Michael (Author) |
|
ISBN: 1498796907 ISBN-13: 9781498796903 Publisher: CRC Press OUR PRICE: $190.00 Product Type: Hardcover - Other Formats Published: February 2017 |
Additional Information |
BISAC Categories: - Mathematics | Functional Analysis - Mathematics | Algebra - General - Mathematics | Calculus |
Dewey: 515.724 |
LCCN: 2016043436 |
Series: Monographs and Research Notes in Mathematics |
Physical Information: 236 pages |
Descriptions, Reviews, Etc. |
Publisher 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. |