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- W4300778732 abstract "The dual attainment of the Monge--Kantorovich transport problem is analyzed in a general setting. The spaces $X, Y$ are assumed to be polish and equipped with Borel probability measures $mu$ and $nu$. The transport cost function $c:XY to [0,infty]$ is assumed to be Borel measurable. We show that a dual optimizer always exists, provided we interpret it as a projective limit of certain finitely additive measures. Our methods are functional analytic and rely on Fenchel's perturbation technique." @default.
- W4300778732 created "2022-10-04" @default.
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- W4300778732 date "2010-09-06" @default.
- W4300778732 modified "2023-10-16" @default.
- W4300778732 title "A generalized dual maximizer for the Monge--Kantorovich transport problem" @default.
- W4300778732 doi "https://doi.org/10.48550/arxiv.1009.1118" @default.
- W4300778732 hasPublicationYear "2010" @default.
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