Measure and integral. (Miera a integral). (Czech) Zbl 0485.28001

Neubrunn, Tibor; Riecan, Beloslav

Slovenska Akademia Vied. Bratislava: VEDA, Vydavatel’stvo Slovenskej Akademie Vied. 554 p. Kcs 69.00 (1981).

MSC:

28-02	Research exposition (monographs, survey articles) pertaining to measure and integration
60-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to probability theory
28A12	Contents, measures, outer measures, capacities
28C05	Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures
28A15	Abstract differentiation theory, differentiation of set functions
28A20	Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
28D05	Measure-preserving transformations
28A35	Measures and integrals in product spaces

Keywords:

Caratheodory method; measurable functions; integration on measure spaces; products of measures; signed measures; decomposition theorems; Radon- Nikodym theorem; ergodic theory; Radon measure; Daniell integral on lattice-ordered groups; extension of measure on an orthomodular lattice; abstract dynamical systems; systems of small sets; subadditive measures; probability theory