Theory of linear operators in Hilbert space. Transl. from the Russian and with a preface by Merlynd Nestell (Two volumes bound as one). Repr. of the 1961 and 1963 transl. (English) Zbl 0874.47001

Akhiezer, N. I.; Glazman, I. M.

New York, NY: Dover Publications. xiv, 147, iv, 218 p. (1993).

See the review of the third edition of this classic (1981; Zbl 0467.47001).

MSC:

47-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory
46-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
47B25	Linear symmetric and selfadjoint operators (unbounded)
47A10	Spectrum, resolvent
46C05	Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
47B15	Hermitian and normal operators (spectral measures, functional calculus, etc.)
47E05	General theory of ordinary differential operators
47B07	Linear operators defined by compactness properties
47G10	Integral operators

Keywords:

linear operators; Hilbert space; selfadjoint operator; spectral theory

Citations:

Zbl 0467.47001