Dispersiveness and positive contractive semigroups (Q795305)
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scientific article; zbMATH DE number 3861860
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dispersiveness and positive contractive semigroups |
scientific article; zbMATH DE number 3861860 |
Statements
Dispersiveness and positive contractive semigroups (English)
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1984
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The paper considers positive one-parameter semi-groups on ordered Banach spaces. The generators are characterized in the case where the positive cone is normal. The notion of dispersiveness is then introduced and a condition is given in order that dispersiveness corresponds to positivity and contractiveness of the generated semi-group. The case of a real Hilbert space ordered by a closed cone is considered, and the generators of continuous contractive positive semi-groups and groups are described.
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positive one-parameter semi-groups on ordered Banach spaces
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dispersiveness
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contractiveness
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generators of continuous contractive positive semi-groups and groups
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