TY - BOOK
T1 - Bounds for determinants of linear operators and their applications
AU - Gil’, Michael
N1 - Publisher Copyright:
© 2017 by Taylor & Francis Group, LLC.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85041013813&partnerID=8YFLogxK
U2 - 10.1201/9781315156231
DO - 10.1201/9781315156231
M3 - Book
AN - SCOPUS:85041013813
SN - 9781498796903
BT - Bounds for determinants of linear operators and their applications
PB - CRC Press
ER -