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Title: Представление функционала в виде интеграла (Russian)
Title: Representation of a functional by an integral (English)
Title: La représentation d'une fonctionelle par une intégrale (French)
Author: Mařík, Jan
Language: Russian
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 5
Issue: 4
Year: 1955
Pages: 467-487
Summary lang: French
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Category: math
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MSC: 28C05
idZBL: Zbl 0068.31802
idMR: MR0086859
DOI: 10.21136/CMJ.1955.100163
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Date available: 2008-06-09T12:47:54Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/100163
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Reference: [1] Р. J. Daniell: A general form of integral.Annals of Mathematics, 19 (1917-18), стр. 279-294. 10.2307/1967495
Reference: [2] E. Hewitt: Linear functionals on spaces of continuous functions.Fundamenta Mathematicae, 37 (1950), стр. 161 - 189. Zbl 0040.06401, MR 0042684, 10.4064/fm-37-1-161-189
Reference: [3] S. Kakutani: Concrete representation of abstract (M) - spaces.Annals of Mathematics, 42 (1941), стр. 994-1024. Zbl 0060.26604, MR 0005778, 10.2307/1968778
Reference: [4] Л. В. Канторович В. 3. Вулих А. Г. Пинскер: Функционадьный анадиз в подуупорядоченных пространствах.Москва-Ленинград 1950. Zbl 1202.91122
Reference: [5] G. W. Маскеу: Equivalence of a problem in measure theory to a problem in the theory of vector lattices.Bull. Amer. Math. Soc, vol. 50 (1944), стр. 719 - 722. Zbl 0060.13402, MR 0010782, 10.1090/S0002-9904-1944-08220-7
Reference: [6] J. Mařík: Lebesgueův integrál v abstraktních prostorech.Časopis pro pěstování matematiky, 76 (1951), стр. 175-194. MR 0051906
Reference: [7] J. Mařík: Vrcholy jednotkové koule v prostoru funkcionál na daném polouspořádaném prostoru.Časopis pro pěstování matematiky, 79 (1954), стр. 3-40. MR 0065825
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