A Hille--Yosida type theorem in ordered convex cones (Q850593)
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scientific article; zbMATH DE number 5070786
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Hille--Yosida type theorem in ordered convex cones |
scientific article; zbMATH DE number 5070786 |
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A Hille--Yosida type theorem in ordered convex cones (English)
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3 November 2006
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For a given semigroup \((\Phi_t)_{t>0}\), its Laplace transform \(V_\alpha:=\int \exp(-\alpha t) \Phi_t\,dt\) defines a resolvent \((V_\alpha)_{\alpha >0}\). Under some regularity assumptions, the author proves the converse for the resolvent defined on ordered convex cones.
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resolvent
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semigroup
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kernel
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ordered convex cone
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