Finite dimensional invariant subspaces for a semigroup of linear operators (Q800597)
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scientific article; zbMATH DE number 3875951
| Language | Label | Description | Also known as |
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| English | Finite dimensional invariant subspaces for a semigroup of linear operators |
scientific article; zbMATH DE number 3875951 |
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Finite dimensional invariant subspaces for a semigroup of linear operators (English)
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1983
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The left-amenability of a semitopological semigroup S is characterized by the existence of an invariant n-dimensional subspace of certain representations of S. This is a generalizatin of a result of \textit{K. Fan} [Indagationes Math. 27, 447-451 (1965; Zbl 0139.311)].
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left-amenability
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semitopological semigroup
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invariant n-dimensional subspace
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