On Lie algebras of operators (Q909203)

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scientific article; zbMATH DE number 4136780
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On Lie algebras of operators
scientific article; zbMATH DE number 4136780

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    On Lie algebras of operators (English)
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    1989
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    This paper considers Lie algebras of operators on Banach spaces, but the questions were motivated by questions about Lie groups acting on \(C^*\)- algebras. The paper gives a structure theorem for perturbations of abelian Lie algebras. In Section 4 these results are applied to examples of groups acting on \(C^*\)-algebras.
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    Lie algebras of operators on Banach spaces
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    Lie groups acting on \(C^*\)- algebras
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    structure theorem for perturbations of abelian Lie algebras
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