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A type of Strassen's theorem for positive vector measures with values in dual spaces |
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| Authors: | Jun Kawabe |
| Affiliation: | Department of Mathematics, Faculty of Engineering, Shinshu University, 4-17-1 Wakasato, Nagano 380-8553, Japan |
| Abstract: | In this paper, we extend a type of Strassen's theorem for the existence of probability measures with given marginals to positive vector measures with values in the dual of a barreled locally convex space which has certain order conditions. In this process of the extension we also give some useful properties for vector measures with values in dual spaces. |
| Keywords: | Strassen's theorem positive vector measure weak convergence of vector measures barreled locally convex space Riesz space |
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