Linear operators in Hilbert spaces. Transl. by Joseph Szücs. (English) Zbl 0434.47001

Graduate Texts in Mathematics, Vol. 68. New York - Heidelberg -Berlin: Springer-Verlag. XIII, 402 p. DM 68.00; $ 40.20 (1980).


47-02 Research exposition (monographs, survey articles) pertaining to operator theory
47A10 Spectrum, resolvent
47A40 Scattering theory of linear operators
47A53 (Semi-) Fredholm operators; index theories
47A55 Perturbation theory of linear operators
47A60 Functional calculus for linear operators
47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces
47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
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)
47D03 Groups and semigroups of linear operators
47L90 Applications of operator algebras to the sciences
47E05 General theory of ordinary differential operators
47F05 General theory of partial differential operators
35J10 Schrödinger operator, Schrödinger equation


Zbl 0344.47001