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Riecan, Beloslav

On the Caratheodory method of the extension of measures and integrals. (English) Zbl 0374.28012

Math. Slovaca 27, 365-374 (1977).
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MSC:

28A60 Measures on Boolean rings, measure algebras
28A10 Real- or complex-valued set functions
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References:

[1] ALFSEN E. M.: Order theoretic foundations of integration. Math. Ann. 149, 1963, 419-461. · Zbl 0111.25605 · doi:10.1007/BF01397977
[2] BREHMER S.: Verbandtheoretische Charakterisierung des Mass- und Integralbegriffs von Carathéodory. Potsdam. Forsch. 1974, B, No 3, 88-91.
[3] CHOQUET G.: Theory of capacities. Annales Inst. Fourier 5, 1953-54, 131-295.
[4] FUTÁŠ E.: Extension of continuous functionals. Mat. Čas. 21, 1971, 191-198. · Zbl 0225.46049
[5] KRICKEBERG K.: Probability theory. New York 1965. · Zbl 0154.18507
[6] NEVEU J.: Bases mathématique du calcul des probabilités. Paris 1964. · Zbl 0137.11203
[7] PUGLISI M.: Seminorme di Beppo Levi ed integrali di Daniel sopra uno spazio die Riesz astratto. Ricerche di Matematica 13, 1969, 181-214. · Zbl 0193.01102
[8] RIEČAN B.: О нєпрєрывном продолжєнии монотонных функционалов нєкоторого типа. Mat.-fyz. Čas. 15, 1965, 116-125.
[9] RIEČAN B.: О продолжєнии опєраторов с значєниями в линєйних полуупорядочєнных пространствах. Čas. pěst. mat. 93, 1968, 459-471
[10] RIEČAN B.: On the unified measure and integration theory. Acta fac. rer. nat. Univ. Comen. · Zbl 0108.05003
[11] RIEČAN B.: Extension of measure and integral by the help of a pseudometric. Math. Slovaca 27, 1977, 143-152.
[12] ŠABO M.: On an extension of finite functional by the transfinite induction. Math. Slovaca 26, 1976, 193-200. · Zbl 0349.28004
[13] TOPSOE F.: Topology and measure. Springer lecture notes 133, Berlin 1970, Matematika 16:4, 1972, 90-148. · Zbl 0197.33301
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