Elements of the theory of functions and functional analysis. 3rd ed. 3ème éd. (Éléments de la théorie des fonctions et de l’analyse fonctionnelle. 3ème éd. Traduit du russe par Michel Dragnev.) (French) Zbl 0932.46001

Paris: Ellipses. Moscou: Éditions MIR, 536 p. FF 190.00 (1994).
The present book is an unaltered reprint of the 1974 French edition of a well-known book originally written in Russian. The book can still be recommended as a good introduction to functional analysis and Lebesgue’s integration theory.


46-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
28-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration
46B10 Duality and reflexivity in normed linear and Banach spaces
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
28A12 Contents, measures, outer measures, capacities
28A15 Abstract differentiation theory, differentiation of set functions
46J05 General theory of commutative topological algebras
42A20 Convergence and absolute convergence of Fourier and trigonometric series
46G05 Derivatives of functions in infinite-dimensional spaces
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
45A05 Linear integral equations