Description of AlgLat \(A\) for an algebraic operator \(A\) (Q1260961)
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scientific article; zbMATH DE number 399293
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Description of AlgLat \(A\) for an algebraic operator \(A\) |
scientific article; zbMATH DE number 399293 |
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Description of AlgLat \(A\) for an algebraic operator \(A\) (English)
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29 August 1993
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The authors give an explicit description of the algebra of operators leaving invariant the \(A\)-invariant subspaces of a vector space \(E\), where \(A\) is a \(p\)-primary algebraic operator on \(E\). They also study the behaviour of the algebraic reflexivity of \(A\) under a certain extension of the base field of \(E\). The contents of this paper are part of the doctoral dissertation of the first author.
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invariant subspaces
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\(p\)-primary algebraic operator
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algebra of operators
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algebraic reflexivity
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