Generalized derivable mappings at zero point on some reflexive operator algebras

DOI10.1016/j.laa.2004.11.012zbMath1067.47048OpenAlexW2078910874MaRDI QIDQ1774982

Jun Zhu, Changping Xiong

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.11.012

zbMATH Keywords

CSL algebrageneralized derivationgeneralized derivable mapping at zero

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Nest algebras, CSL algebras (47L35) Linear operators in algebras (47C05)

Related Items (29)

All-derivable points of operator algebras ⋮ A note on derivations on the algebra of operators in Hilbert \(C^*\)-modules ⋮ Characterizing centralizers and generalized derivations on triangular algebras by acting on zero product ⋮ Derivable mappings at unit operator on nest algebras ⋮ Jordan all-derivable points in the algebra of all upper triangular matrices ⋮ Linear maps on \(\mathrm{C}^\ast\)-algebras which are derivations or triple derivations at a point ⋮ Jordan higher all-derivable points on nontrivial nest algebras ⋮ Conjugate linear maps from \(C^*\)-algebras into their dual spaces which are ternary derivable at the unit element ⋮ A characterization of derivations of JSL algebras ⋮ Nonlinear mappings on full matrices derivable at zero point ⋮ Linear maps which are anti-derivable at zero ⋮ All-derivable points in the algebra of all upper triangular matrices ⋮ Linear maps between C*-algebras that are *-homomorphisms at a fixed point ⋮ A characterization of generalized Jordan derivations on Banach algebras ⋮ Nonlinear mappings on upper triangular matrices derivable at zero point ⋮ Additive maps derivable at some points on \(\mathcal J\)-subspace lattice algebras ⋮ All-derivable points in continuous nest algebras ⋮ Additive maps derivable or Jordan derivable at zero point on nest algebras ⋮ Characterizations of derivations of Banach space nest algebras: all-derivable points ⋮ All-derivable points in nest algebras ⋮ A characterization of generalized derivations of JSL algebras ⋮ Hyperreflexivity of the derivation space of some group algebras ⋮ Derivations and local derivations on strongly double triangle subspace lattice algebras ⋮ Derivations on FCIN algebras ⋮ Characterizations of derivations and Jordan derivations on Banach algebras ⋮ Characterization of linear mappings on (Banach) \(\star\)-algebras by similar properties to derivations ⋮ Annihilator-preserving maps, multipliers, and derivations ⋮ Linear maps on standard operator algebras characterized by action on zero products ⋮ Full-derivable points of \(\mathcal {J}\)-subspace lattice algebras

Cites Work

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• Characterizations of derivations on some normed algebras with involution
• The radical of a reflexive operator algebra
• Local derivations
• Local derivations on operator algebras
• Strongly Reflexive Lattices
• Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations
• Local Jordan *-derivations of standard operator algebras
• Bilocal derivations of standard operator algebras
• Local automorphisms and derivations on $\mathcal {B}(H)$
• On local automorphisms of group algebras of compact groups

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