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Jordan higher all-derivable points on nontrivial nest algebras - MaRDI portal

Jordan higher all-derivable points on nontrivial nest algebras (Q616282)

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scientific article; zbMATH DE number 5833884
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Jordan higher all-derivable points on nontrivial nest algebras
scientific article; zbMATH DE number 5833884

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    Jordan higher all-derivable points on nontrivial nest algebras (English)
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    7 January 2011
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    In the paper under review, the authors show that a family of continuous higher derivable mappings \(D\) is a Jordan higher derivation if \(D\) is a higher derivable mapping at an invertible element. They give an application of this result, namely, every invertible operator in a nest algebra is a higher all-derivable point.
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    Jordan higher derivation
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    Banach algebra
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    nest algebra
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