Derivable mappings at unit operator on nest algebras

DOI10.1016/j.laa.2006.12.002zbMath1140.47059OpenAlexW2032821234MaRDI QIDQ875025

Changping Xiong, Jun Zhu

Publication date: 10 April 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.12.002

zbMATH Keywords

operator algebrainner derivationderivable mapping

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Nest algebras, CSL algebras (47L35)

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Cites Work

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• Characterizations of derivations on some normed algebras with involution
• Generalized derivable mappings at zero point on some reflexive operator algebras
• Local derivations
• Local derivations on operator algebras
• Strongly Reflexive Lattices
• Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations
• Local multiplications on algebras spanned by idempotents
• Local Derivation of Nest Algebras
• Bilocal derivations of standard operator algebras
• Local automorphisms and derivations on $\mathcal {B}(H)$
• Characterisations of derivations on some operator algebras
• On Some Algebras of Operators
• Operators of Finite Rank in Nest Algebras