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On a necessary condition for a generator - MaRDI portal

On a necessary condition for a generator (Q1100406)

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scientific article; zbMATH DE number 4042586
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On a necessary condition for a generator
scientific article; zbMATH DE number 4042586

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    On a necessary condition for a generator (English)
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    1986
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    A necessary condition for a *-derivation of a \(C^*\)-algebra to be extendible to a generator of a strongly continuous one parameter group of automorphisms is given. This condition is related to the ``well-behaved'' condition of \textit{S. Sakai} [Lect. Notes Math. 650, 85-122 (1978; Zbl 0392.46040)] and in some sense generalizes it. The generalization proves to be essential only in the non-commutative case.
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    necessary condition for a *-derivation of a \(C^ *\)-algebra to be extendible to a generator of a strongly continuous one parameter group of automorphisms
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    well-behaved
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