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Jordan higher all-derivable points on nontrivial nest algebras

โœ Scribed by Hongyan Zeng; Jun Zhu


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
184 KB
Volume
434
Category
Article
ISSN
0024-3795

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All-derivable points in nest algebras
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Suppose that A is an operator algebra on a Hilbert space H. An element V in A is called an all-derivable point of A for the strong operator topology if every strong operator topology continuous derivable mapping ฯ• at V is a derivation. Let N be a complete nest on a complex and separable Hilbert spac

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Generalized Jordan all-derivable point Jordan derivable map Generalized Jordan derivable map Derivation Generalized derivation Let H be a Hilbert space and B(H) the algebra of all bounded linear operators on H. In this note we show that 0 is a generalized Jordan all-derivable point of B(H) if H is