Geodesic
Positive vector measures with given marginals
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 613-619 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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}$.
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}$.
Classification : 28B05, 28C05, 46E10, 46G10, 60B05
Keywords: ordered locally convex space; order convergence; marginals 
@article{CMJ_2006_56_2_a25,
     author = {Khurana, Surjit Singh},
     title = {Positive vector measures with given marginals},
     journal = {Czechoslovak Mathematical Journal},
     pages = {613--619},
     year = {2006},
     volume = {56},
     number = {2},
     mrnumber = {2291761},
     zbl = {1164.60306},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006_56_2_a25/}
}
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Khurana, Surjit Singh. Positive vector measures with given marginals. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 613-619. http://geodesic.mathdoc.fr/item/CMJ_2006_56_2_a25/