| Title:
|
Convergence theorems for measures with values in Riesz spaces (English) |
| Author:
|
Candeloro, Domenico |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
38 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
[287]-295 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In some recent papers, results of uniform additivity have been obtained for convergent sequences of measures with values in $l$-groups. Here a survey of these results and some of their applications are presented, together with a convergence theorem involving Lebesgue decompositions. (English) |
| Keyword:
|
convergence theorem |
| Keyword:
|
Riesz space |
| Keyword:
|
Lebesgue decomposition |
| MSC:
|
28B15 |
| MSC:
|
46G10 |
| idZBL:
|
Zbl 1265.46069 |
| idMR:
|
MR1944310 |
| . |
| Date available:
|
2009-09-24T19:45:59Z |
| Last updated:
|
2015-03-25 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135464 |
| . |
| Reference:
|
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| Reference:
|
[2] Boccuto A.: Dieudonné-type theorems for means with values in Riesz spaces.Tatra Mountains Math. Publ. 8 (1996), 29–42 Zbl 0918.28009, MR 1475257 |
| Reference:
|
[3] Boccuto A., Candeloro D.: Uniform $s$-boundedness and convergence results for measures with values in complete l-groups.J. Math. Anal. Appl. 265 (2002), 170–194 Zbl 1006.28012, MR 1874264, 10.1006/jmaa.2001.7715 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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[9] Candeloro D., Letta G.: Sui teoremi di Vitali–Hahn–Saks e di Dieudonné.Rend. Accad. Naz. Sci. XL 9 (1985), 203–213 MR 0899250 |
| Reference:
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| Reference:
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| Reference:
|
[12] Nikodým O.: Sur les suites convergentes de fonctions parfaitement additives d’ensemble abstrait.Monatsc. Math. 40 (1933), 427–432 Zbl 0008.25003, MR 1550217, 10.1007/BF01708880 |
| Reference:
|
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| Reference:
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| Reference:
|
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| . |
