# zbMATH — the first resource for mathematics

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).

##### MSC:
 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
##### Keywords:
linear operators in Hilbert spaces