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 |
. |
Category:
|
math |
. |
MSC:
|
28C05 |
idZBL:
|
Zbl 0068.31802 |
idMR:
|
MR0086859 |
DOI:
|
10.21136/CMJ.1955.100163 |
. |
Date available:
|
2008-06-09T12:47:54Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100163 |
. |
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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