Functional analysis. 3rd rev. ed. (Функциональный анализ.) (Russian) Zbl 0555.46001

Kantorovich, L. V.; Akilov, G. P.

Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoĭ Literatury. 752 p. R. 3.20 (1984).

Revised edition of a book, which has already been translated into English (1982; Zbl 0484.46003); French (1981; Zbl 0531.46001), and German (1978; Zbl 0359.46017). For a review on the first Russian edition (1959) see Zbl 0127.06102.

MSC:

46-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
47-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory
47A50	Equations and inequalities involving linear operators, with vector unknowns
47B15	Hermitian and normal operators (spectral measures, functional calculus, etc.)
65J05	General theory of numerical analysis in abstract spaces
47A05	General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
47A10	Spectrum, resolvent
46B03	Isomorphic theory (including renorming) of Banach spaces
46C05	Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
46A03	General theory of locally convex spaces
46E05	Lattices of continuous, differentiable or analytic functions
46E30	Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Citations:

Zbl 0484.46003; Zbl 0531.46001; Zbl 0359.46017; Zbl 0127.06102