On directional derivatives for cone-convex functions (Q2335891)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On directional derivatives for cone-convex functions |
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On directional derivatives for cone-convex functions (English)
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15 November 2019
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Let $X$ be a linear space and let $Y$ be a Banach space ordered by a closed normal cone. If every convex operator from $X$ to $Y$ is directionally differentiable at the origin, then there is no subspace of $Y$ isomorphic to $c_0$.
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directional derivative
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cone isomorphism
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convex mappings
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cone convex mappings
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convex operators
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isomorphism with $c_0$
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