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Title: Extension of measures and integrals by the help of a pseudometric (English)
Author: Riečan, Beloslav
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 27
Issue: 2
Year: 1977
Pages: 143-152
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Category: math
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MSC: 28A10
MSC: 46A40
idZBL: Zbl 0359.28008
idMR: MR0450507
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Date available: 2009-09-25T08:48:33Z
Last updated: 2012-07-31
Stable URL: http://hdl.handle.net/10338.dmlcz/128608
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Reference: [1] ALFSEN E. M.: Order preserving maps and integration processes.Math. Ann. 149, 1963, 419-461. MR 0148841
Reference: [2] BIRKHOFF G.: Lattice theory.3. ed. Providence 1967. Zbl 0153.02501, MR 0227053
Reference: [3] BOURBAKI N.: Éléments de mathématique, VI.Integration. Paris.
Reference: [4] BREHMER S.: Verbandtheoretische Charakterisierung des Mass- und Integralbegriffs von Carathéodory.Potsdam. Forsch. 1974, B, 3, 88-91. MR 0360974
Reference: [5] BREHMER S.: .Algebraic characterization of measure and integral by the method of Caratheodory, to appear. Zbl 1184.94214, MR 0540562
Reference: [6] DREWNOWSKI L.: Topological rings of sets, continuous set functions, integration, I, II.Bull. Acad. Pol. Sci. 20, 1972, 269-286. MR 0306432
Reference: [7] FUTÁŠ E.: Extension of linear operators.Mat. Čas. 22, 1972, 271-281. Zbl 0257.47006, MR 0338313
Reference: [8] FUTÁŠ E.: Extension of continuous functionals.Mat. Čas. 21, 1971, 191-198. MR 0303250
Reference: [9] KLUVÁNEK I.: O vektorovej miere.Mat.-fyz. Čas. 7, 1957, 186-192. MR 0097488
Reference: [10] PUGLISI M. A.: Seminorme di Beppo Levi ed integrali di Daniell sopra uno spazio die Riesz astratto.Richerche di Matematica 13, 1969, 181-214. MR 0435333
Reference: [11] RIEČAN B.: O непрерывном продолжении монотонных функционалов некоторого типа.Mat.-fyz. Čas. 15, 1965, 116-125.
Reference: [12] RIEČAN B.: О продолжении операторов с значеннями в линейних полуупорядоченных пространствах.Čas. pěst. Mat. 93, 1968, 459-471. Zbl 0169.16501
Reference: [13] ŠABO M.: On an extension of finite functionals by the transfinite induction.Math. Slovaca 26, 1976, 193-200. Zbl 0349.28004, MR 0450491
Reference: [14] TOPSOE, F: Topology and measure.In: Lecture notes in math. 133. Berlin 1970. Zbl 0197.33301, MR 0422560
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