Perturbation theory for linear operators. Corr. printing of the 2nd ed. (English) Zbl 0435.47001

Grundlehren der mathematischen Wissenschaften, 132. Berlin-Heidelberg-New York: Springer-Verlag. XXI, 619 p. DM 120.00; $ 70.60 (1980).
Corrected printing of the second edition (1976; Zbl 0342.47009); for a review of the first edition (1966) see Zbl 0148.12601.


47A55 Perturbation theory of linear operators
47-02 Research exposition (monographs, survey articles) pertaining to operator theory
46Cxx Inner product spaces and their generalizations, Hilbert spaces
47A10 Spectrum, resolvent
47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
47D03 Groups and semigroups of linear operators
47E05 General theory of ordinary differential operators
47F05 General theory of partial differential operators
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
81Q15 Perturbation theories for operators and differential equations in quantum theory
81U10 \(n\)-body potential quantum scattering theory
81U20 \(S\)-matrix theory, etc. in quantum theory
47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
47A40 Scattering theory of linear operators
47A53 (Semi-) Fredholm operators; index theories
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)
47B25 Linear symmetric and selfadjoint operators (unbounded)
47B44 Linear accretive operators, dissipative operators, etc.
47A60 Functional calculus for linear operators
47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces