Ebook: Perturbation theory for linear operators
Author: Dr. Tosio Kato (auth.)
- Tags: Functional Analysis, Difference and Functional Equations, Mathematics general
- Series: Die Grundlehren der mathematischen Wissenschaften 132
- Year: 1966
- Publisher: Springer Berlin Heidelberg
- Language: English
- pdf
Content:
Front Matter....Pages II-XIX
Operator theory in finite-dimensional vector spaces....Pages 1-62
Perturbation theory in a finite-dimensional space....Pages 62-126
Introduction to the theory of operators in Banach spaces....Pages 126-188
Stability theorems....Pages 189-250
Operators in Hilbert spaces....Pages 251-308
Sesquilinear forms in Hilbert spaces and associated operators....Pages 308-364
Analytic perturbation theory....Pages 364-426
Asymptotic perturbation theory....Pages 426-477
Perturbation theory for semigroups of operators....Pages 477-513
Perturbation of continuous spectra and unitary equivalence....Pages 514-565
Back Matter....Pages 566-592
Content:
Front Matter....Pages II-XIX
Operator theory in finite-dimensional vector spaces....Pages 1-62
Perturbation theory in a finite-dimensional space....Pages 62-126
Introduction to the theory of operators in Banach spaces....Pages 126-188
Stability theorems....Pages 189-250
Operators in Hilbert spaces....Pages 251-308
Sesquilinear forms in Hilbert spaces and associated operators....Pages 308-364
Analytic perturbation theory....Pages 364-426
Asymptotic perturbation theory....Pages 426-477
Perturbation theory for semigroups of operators....Pages 477-513
Perturbation of continuous spectra and unitary equivalence....Pages 514-565
Back Matter....Pages 566-592
....
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