| Title:
|
On the extension of subadditive measures in lattice ordered groups (English) |
| Author:
|
Vrábelová, Marta |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
57 |
| Issue:
|
1 |
| Year:
|
2007 |
| Pages:
|
95-103 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A lattice ordered group valued subadditive measure is extended from an algebra of subsets of a set to a $\sigma $-algebra. (English) |
| Keyword:
|
subadditive measure |
| Keyword:
|
lattice ordered groups |
| MSC:
|
06F15 |
| MSC:
|
28B10 |
| MSC:
|
28B15 |
| idZBL:
|
Zbl 1174.28315 |
| idMR:
|
MR2309951 |
| . |
| Date available:
|
2009-09-24T11:44:07Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128157 |
| . |
| Reference:
|
[1] V. N. Alexiuk, F. D. Beznosikov: Extension of continuous outer measure on a Boolean algebra.Izv. VUZ 4(119) (1972), 3–9. (Russian) |
| Reference:
|
[2] I. Dobrakov: On subadditive operators on $C_0(T)$.Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 20 (1972), 561–562. Zbl 0237.47035, MR 0318856 |
| Reference:
|
[3] L. Drewnowski: Topological rings of sets, continuous set functions, integration I.Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 20 (1972), 269–276. Zbl 0249.28004, MR 0306432 |
| Reference:
|
[4] L. Drewnowski: Topological rings of sets, continuous set functions, integration II.Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 20 (1972), 277–286. Zbl 0249.28005, MR 0316653 |
| Reference:
|
[5] D. H. Fremlin: A direct proof of the Mathes-Wright integral extension theorem.J. London Math. Soc., II. Ser. 11 (1975), 267–284. MR 0380345 |
| Reference:
|
[6] B. Riečan: An extension of the Daniell integration scheme.Mat. Čas. 25 (1975), 211–219. MR 0396889 |
| Reference:
|
[7] B. Riečan, T. Neubrunn: Integral, Measure and Ordering. Mathematics and its Applications, 411.Kluwer, Dordrecht, 1997. MR 1489521 |
| Reference:
|
[8] B. Riečan, P. Volauf: On a technical lemma in lattice ordered groups.Acta Math. Univ. Comenianae 44–45 (1984), 31–35. MR 0775002 |
| . |
