Hahn-Banach and Banach-Steinhaus theorems for convex processes (Q1114896)
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scientific article; zbMATH DE number 4086287
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hahn-Banach and Banach-Steinhaus theorems for convex processes |
scientific article; zbMATH DE number 4086287 |
Statements
Hahn-Banach and Banach-Steinhaus theorems for convex processes (English)
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1989
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Our goal is to prove versions of the Hahn-Banach and Banach-Steinhaus theorems for convex processes. For the first theorem, we prove that each real convex process corresponds to a sublinear or superlinear functional and then we extend these. For the second theorem, we previously show that there is a seminorm naturaly associated to the class of lower semi- continuous convex processes.
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semi-continuous multifunction
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seminorm of a convex process
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versions of the Hahn-Banach and Banach-Steinhaus theorems for convex processes
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sublinear or superlinear functional
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lower semi-continuous convex processes
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