| Title:
|
Some new results about Brooks-Jewett and Dieudonné-type theorems in $(l)$-groups (English) |
| Author:
|
Boccuto, Antonio |
| Author:
|
Candeloro, Domenico |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
46 |
| Issue:
|
6 |
| Year:
|
2010 |
| Pages:
|
1049-1060 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we present some new versions of Brooks-Jewett and Dieudonné-type theorems for $(l)$-group-valued measures. (English) |
| Keyword:
|
$(l)$-group |
| Keyword:
|
order convergence |
| Keyword:
|
regular measure |
| Keyword:
|
Brooks–Jewett theorem |
| Keyword:
|
Dieudonné theorem |
| MSC:
|
28B05 |
| MSC:
|
28B15 |
| idZBL:
|
Zbl 1210.28015 |
| idMR:
|
MR2797426 |
| . |
| Date available:
|
2011-04-12T12:50:42Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141465 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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[3] Boccuto, A.: Integration in Riesz spaces with respect to $(D)$-convergence.Tatra Mountains Math. Publ. 10 (1997), 33–54. Zbl 0918.28010, MR 1469280 |
| Reference:
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| Reference:
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| Reference:
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[6] 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:
|
[9] Brooks, J. K., Jewett, R. S.: On finitely additive vector measures.Proc. Nat. Acad. Sci. U.S.A. 67 (1970), 1294–1298. Zbl 0216.09602, MR 0269802, 10.1073/pnas.67.3.1294 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
