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 |
. |
Category:
|
math |
. |
MSC:
|
28A10 |
MSC:
|
28A60 |
idZBL:
|
Zbl 0374.28012 |
idMR:
|
MR536839 |
. |
Date available:
|
2009-09-25T08:51:58Z |
Last updated:
|
2012-07-31 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136156 |
. |
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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