Bounds for Determinants of Linear Operators and their Applications
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A01=Michael Gil'
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Author_Michael Gil'
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banach
Banach Space
Banach space methods
Category1=Non-Fiction
Category=PBC
Category=PBF
Category=PBK
compact
Compact Operator
COP=United States
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dimensional
Discrete Time Lyapunov Equation
eigenvalue multiplicity
eq_isMigrated=2
eq_nobargain
Essential Spectrum
finite
Finite Dimensional Case
Finite Dimensional Operators
Finite Rank Operators
functional analysis
Hermitian Components
hilbert
Hilbert Schmidt Operators
Invariant Subspace
Jensen Formula
Language_English
lemma
Maximal Chain
nilpotent
Nilpotent Operator
Nilpotent Part
Nuclear Operators
operator theory
Orthogonal Normal Basis
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perturbation analysis
Positive Definite Hermitian Matrix
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schmidt
Schur Basis
Separable Hilbert Space
softlaunch
space
spectral theory
spectrum of compact operators
Tensor Products
Trace Class Operators
Uniform Operator Topology
Unique Positive Root
Volterra Operator
Weyl Inequalities
Product details
- ISBN 9781498796903
- Weight: 486g
- Dimensions: 156 x 234mm
- Publication Date: 22 Feb 2017
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
- Language: English
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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.
Before his retirement in 2009, Michael I. Gil′ was a professor at the Ben Gurion University of the Negev, Beer Sheva, Israel. He has authored more than 250 articles in scientific journals and 9 books.
