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Title: On the Carathéodory method of the extension of measures and integrals (English)
Author: Riečan, Beloslav
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 27
Issue: 4
Year: 1977
Pages: 365-374
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Category: math
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MSC: 28A10
MSC: 28A60
idZBL: Zbl 0374.28012
idMR: MR536839
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Date available: 2009-09-25T08:51:58Z
Last updated: 2012-07-31
Stable URL: http://hdl.handle.net/10338.dmlcz/136156
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Reference: [1] ALFSEN E. M.: Order theoretic foundations of integration.Math. Ann. 149, 1963, 419-461. Zbl 0111.25605, MR 0148841
Reference: [2] BREHMER S.: Verbandtheoretische Charakterisierung des Mass- und Integralbegriffs von Carathéodory.Potsdam. Forsch. 1974, B, No 3, 88-91. MR 0360974
Reference: [3] CHOQUET G.: Theory of capacities.Annales Inst. Fourier 5, 1953-54, 131-295. MR 0080760
Reference: [4] FUTÁŠ E.: Extension of continuous functionals.Mat. Čas. 21, 1971, 191-198. MR 0303250
Reference: [5] KRICKEBERG K.: Probability theory.New York 1965. Zbl 0154.18507, MR 0198500
Reference: [6] NEVEU J.: Bases mathématique du calcul des probabilités.Paris 1964. MR 0198504
Reference: [7] PUGLISI M.: Seminorme di Beppo Levi ed integrali di Daniel sopra uno spazio die Riesz astratto.Ricerche di Matematica 13, 1969, 181-214. MR 0435333
Reference: [8] RIEČAN B.: O нeпpepывнoм пpoдoлжeнии мoнoтoнныx фyнкциoнaлoв нeкoтopoгo тиna.Mat.-fyz. Čas. 15, 1965, 116-125.
Reference: [9] RIEČAN B.: O пpoдoлжeнии onepaтopoв c знaчeниями в линeйниx пoлyyпopядoчeнныx пpocтpaнcтвax.Čas. pěst. mat. 93, 1968, 459-471
Reference: [10] RIEČAN B.: On the unified measure and integгation theory.Acta fac. reг. nat. Univ. Comen.
Reference: [11] RIEČAN B.: Extension of measure and integral by the help of a pseudometric.Math. Slovaca 27, 1977, 143-152. MR 0450507
Reference: [12] ŠABO M.: On an extension of finite functional by the transfinite induction.Math. Slovaca 26, 1976, 193-200. MR 0450491
Reference: [13] TOPSOE F.: Topology and measure.Springer lecture notes 133, Berlin 1970, Matematika 16:4, 1972, 90-148. Zbl 0197.33301, MR 0422560
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