Positive vector measures with given marginals |
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| Authors: | Surjit Singh Khurana |
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| Institution: | (1) Department of Mathematics, Univerisity of Iowa, Iowa City, Iowa, 52242 |
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| Abstract: | 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 × X
2, E). For i = 1, 2, let μ
i
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 μ
1 and μ
2. |
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| Keywords: | ordered locally convex space order convergence marginals |
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