Analyse functionnelle. Traduit du russe par Djilali Embarek. (French) Zbl 0531.46001

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

Moscou: Editions Mir. 342 p. (1981).

For a review on the Russian original (1959) and the second English edition (1982) see Zbl 0127.061 and Zbl 0484.46003.

MSC:

46-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
47B06	Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
47A50	Equations and inequalities involving linear operators, with vector unknowns
46B03	Isomorphic theory (including renorming) of Banach spaces
46B10	Duality and reflexivity in normed linear and Banach spaces
47A05	General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
47B15	Hermitian and normal operators (spectral measures, functional calculus, etc.)
47H10	Fixed-point theorems
65J10	Numerical solutions to equations with linear operators
65J15	Numerical solutions to equations with nonlinear operators
91B99	Mathematical economics

Keywords:

linear operators and functionals; functional equations; topological vector spaces; spaces of measurable functions; integral operators and their representations; partially ordered spaces; mathematical economics; control theory

Citations:

Zbl 0127.061; Zbl 0484.46003