β Scribed by Dr. Tosio Kato (auth.)
No coin nor oath required. For personal study only.
Content:
Front Matter....Pages I-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
Erratum to: Operator Theory in Finite-Dimensional Vector Spaces....Pages 591-591
Erratum to: Perturbation theory in a finite-dimensional space....Pages 591-591
Erratum to: Introduction to the theory of operators in Banach spaces....Pages 591-591
Erratum to: Operators in Hilbert spaces....Pages 591-591
Erratum to: Asymptotic perturbation theory....Pages 591-591
Erratum to: Perturbation of continuous spectra and unitary equivalence....Pages 591-592
Back Matter....Pages 566-590
π SIMILAR VOLUMES
This text, part of the "Springer Classics of Mathematics" series, examines perturbation theory for linear operators.
From the reviews: "[β¦] An excellent textbook in the theory of linear operators in Banach and Hilbert spaces. It is a thoroughly worthwhile reference work both for graduate students in functional analysis as well as for researchers in perturbation, spectral, and scattering theory. [β¦] I can recommend
<p>In view of recent development in perturbation theory, supplementary notes and a supplementary bibliography are added at the end of the new edition. Little change has been made in the text except that the paraΒ graphs V-Β§ 4.5, VI-Β§ 4.3, and VIII-Β§ 1.4 have been completely rewritten, and a number o
<p>This book is a slightly expanded reproduction of the first two chapters (plus Introduction) of my book Perturbation Theory tor Linear Operators, Grundlehren der mathematischen Wissenschaften 132, Springer 1980. Ever since, or even before, the publication of the latter, there have been suggestions