Measurable multifunctions and their applications to convex integral functionals (Q1112199)
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scientific article; zbMATH DE number 4077617
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Measurable multifunctions and their applications to convex integral functionals |
scientific article; zbMATH DE number 4077617 |
Statements
Measurable multifunctions and their applications to convex integral functionals (English)
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1989
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The purpose of this paper is to establish some new properties of set- valued measurable functions and of their sets of integrable selectors and to use them to study convex integral functionals defined on Lebesgue- Bochner spaces. In this process we also obtain a characterization of separable dual Banach spaces using multifunctions and we present some generalizations of the classical ``bang-bang'' principle to infinite dimensional linear control systems with time dependent control constraints.
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measurable multifunction
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weak Radon-Nikodým property
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set-valued conditional expectation
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bang-bang principle
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convex normal integrand
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subgradient
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subdifferential
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set-valued measurable functions
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integrable selectors
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convex integral functionals defined on Lebesgue-Bochner spaces
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characterization of separable dual Banach spaces
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infinite dimensional linear control systems
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