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Invariance of primitive ideals by \(\Phi\)-derivations on Banach algebras - MaRDI portal

Invariance of primitive ideals by \(\Phi\)-derivations on Banach algebras (Q730651)

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scientific article; zbMATH DE number 5613860
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English
Invariance of primitive ideals by \(\Phi\)-derivations on Banach algebras
scientific article; zbMATH DE number 5613860

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    Invariance of primitive ideals by \(\Phi\)-derivations on Banach algebras (English)
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    12 October 2009
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    It is shown that, under certain conditions, a \(\Phi\)-derivation of a Banach algebra with a nilpotent separating space leaves primitive ideals invariant. Further, some conditions implying the nilpotency of the separating space are given.
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    \(\Phi\)-derivation
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    primitive ideal
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    nilpotent ideal
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    separating space
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