| Title:
|
Positive vector measures with given marginals (English) |
| Author:
|
Khurana, Surjit Singh |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
2 |
| Year:
|
2006 |
| Pages:
|
613-619 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Suppose $E$ is an ordered locally convex space, $X_{1} $ and $X_{2} $ Hausdorff completely regular spaces and $Q$ a uniformly bounded, convex and closed subset of $ M_{t}^{+}(X_{1} \times X_{2}, E) $. For $ i=1,2 $, let $ \mu _{i} \in M_{t}^{+}(X_{i}, E) $. Then, under some topological and order conditions on $E$, necessary and sufficient conditions are established for the existence of an element in $Q$, having marginals $ \mu _{1} $ and $ \mu _{2}$. (English) |
| Keyword:
|
ordered locally convex space |
| Keyword:
|
order convergence |
| Keyword:
|
marginals |
| MSC:
|
28B05 |
| MSC:
|
28C05 |
| MSC:
|
46E10 |
| MSC:
|
46G10 |
| MSC:
|
60B05 |
| idZBL:
|
Zbl 1164.60306 |
| idMR:
|
MR2291761 |
| . |
| Date available:
|
2009-09-24T11:36:08Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128091 |
| . |
| 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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| Reference:
|
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| Reference:
|
[8] S. S. Khurana: Extension and regularity of group-valued Baire measures.Bull. Acad. Polon. Sc., Ser. Math. Astro. Phys. 22 (1974), 891–895. Zbl 0275.28012, MR 0393412 |
| Reference:
|
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| Reference:
|
[10] I. Kluvanek and G. Knowles: Vector Measures and Control Systems.North-Holland, 1976. MR 0499068 |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
[15] V. S. Varadarajan: Measures on topological spaces.Amer. Math. Soc. Transl. 48 (1965), 161–228. 10.1090/trans2/048/10 |
| . |
