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Bounds for Determinants of Linear Operators and their Applications.

Bounds for Determinants of Linear Operators and their Applications.

・ISBN 978-1-4987-9690-3 hard GB£ 187.99

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-315-15623-1

著者・編者Gil', Michael,
シリーズChapman & Hall/CRC Monographs and Research Notes in Mathematics
出版社(Chapman & Hall/CRC, US)
出版年月2017
ページ数236 pp.
言語ENG
ニュース番号<M25-8141>

解説

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.