Let $\mathscr{X}$ be a Banach space and $(\Omega, \Sigma, \mu)$ be a finite measure space. A strongly measurable $f:\Omega \rightarrow \mathscr{X}$ is Pettis ...
We consider the Monge-Kantorovich transport problem in an abstract measure theoretic setting. Our main result states that duality holds if c: X × Y → [0, ∞) is an arbitrary Borel measurable cost ...
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