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- W2896499262 abstract "A transfunction is a function which maps between sets of finite measures on measurable spaces. In this paper we characterize transfunctions that correspond to Markov operators and to transport plans. A single transfunction of this type will contain the `instructions' common to several different Markov operators and transport plans. We also define two kinds of adjoints to transfunctions. The Markov adjoint of a transfunction from $X$ to $Y$ is a certain transfunction from $Y$ to $X$. The Radon adjoint of a transfunction from $X$ to $Y$ is a certain linear and bounded operator between Banach spaces of functions on $Y$ and $X$. Both types of adjoints are defined via integral properies and their existence implies strong $sigma$-additivity of the transfunction." @default.
- W2896499262 created "2018-10-26" @default.
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- W2896499262 date "2018-10-19" @default.
- W2896499262 modified "2023-09-27" @default.
- W2896499262 title "Markov Operators, Transport Plans and Transfunctions" @default.
- W2896499262 hasPublicationYear "2018" @default.
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