Maximal dominated operator semigroups (Q1601810)
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scientific article; zbMATH DE number 1761134
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal dominated operator semigroups |
scientific article; zbMATH DE number 1761134 |
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Maximal dominated operator semigroups (English)
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27 June 2002
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The authors study semigroups of operators on vector spaces: ``For any maximal semigroup \({\mathcal M}\) dominated by a certain pair of homogeneous functions there is an operator quasinorm for which \({\mathcal M}\) is exactly the semigroup of contractions in this quasinorm. Applications to Riesz spaces are given. In particular, maximal semigroups of matrices dominated by a given positive matrix are characterized.''
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semigroups of operators
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contractions
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domination
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Riesz spaces
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