Characterizations of all-derivable points in nest algebras

DOI10.1090/S0002-9939-2013-11511-XzbMath1275.47082arXiv1107.1931OpenAlexW2074292006MaRDI QIDQ2839304

Sha Zhao, Jun Zhu

Publication date: 5 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1931

zbMATH Keywords

derivationnest algebraderivable mappingall-derivable point

Mathematics Subject Classification ID

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

Related Items (17)

Lie triple derivations on von Neumann algebras ⋮ Linear maps on \(\mathrm{C}^\ast\)-algebras which are derivations or triple derivations at a point ⋮ Lie Centralizers and generalized Lie derivations on prime rings by local actions ⋮ Generalized derivable mappings and centralizable mappings on B(X) ⋮ A characterization of derivations of JSL algebras ⋮ Lie derivable maps on nest algebras ⋮ Functional identities on Banach algebras and matrix rings ⋮ Linear maps which are anti-derivable at zero ⋮ Unnamed Item ⋮ Characterizing derivations for any nest algebras on Banach spaces by their behaviors at an injective operator ⋮ Linear maps between C*-algebras that are *-homomorphisms at a fixed point ⋮ Characterizations of Lie higher derivations on triangular algebras ⋮ Linear maps on \(C^\star\)-algebras behaving like (anti-)derivations at orthogonal elements ⋮ Dual space valued mappings on \(\mathrm{C}^{\ast}\)-algebras which are ternary derivable at zero ⋮ Characterizations of all-derivable points inB(H) ⋮ Characterization of linear mappings on (Banach) \(\star\)-algebras by similar properties to derivations ⋮ Characterizations of generalized derivations associated with hochschild 2-cocycles and higher derivations

Cites Work

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• Derivable mappings at unit operator on nest algebras
• Characterizations of isomorphisms and derivations of some algebras
• All-derivable points in the algebra of all upper triangular matrices
• Characterizations of derivations of Banach space nest algebras: all-derivable points
• Nest algebras and similarity transformations
• Characterizations of derivations on some normed algebras with involution
• Local derivations
• Local derivations on operator algebras
• All-derivable points of operator algebras
• Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations
• Bilocal derivations of standard operator algebras
• Local automorphisms and derivations on $\mathcal {B}(H)$
• Characterisations of derivations on some operator algebras
• Operators of Finite Rank in Nest Algebras

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