Elements of the theory of functions and functional analysis. Textbook. (Ehlementy teorii funktsij i funktsional’nogo analiza. Uchebnik). 6th ed., rev. (Ehlementy teorii funktsij i funktsional’nogo analiza. Uchebnik.) (Russian) Zbl 0672.46001

Kolmogorov, A. N.; Fomin, S. V.

Moskva: Nauka. 624 p. R. 1.50 (1989).

The bibliography of this 6th edition has been updated. For reviews on former editions see Zbl 0501.46002, Zbl 0167.42101, Zbl 0057.33602 and Zbl 0090.08702.

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
28-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration
46Bxx	Normed linear spaces and Banach spaces; Banach lattices

Keywords:

inverse function theorem; extremal problems; Banach algebras; metric and topological spaces; normed and topological linear; spaces; linear functionals; linear operators; measure; measurable; functions; integral; indefinite Lebesgue integral; differentiation; spaces of summable functions; trigonometric series; Fourier; transform; linear integral equations; differential calculus in; linear spaces; distributions; generalized functions

Citations:

Zbl 0501.46002; Zbl 0167.42101; Zbl 0057.33602; Zbl 0090.08702