Characterizations of derivations on triangular rings: additive maps derivable at idempotents

DOI10.1016/j.laa.2009.04.005zbMath1173.47023OpenAlexW2062387790MaRDI QIDQ1030771

Jin-Chuan Hou, Run Ling An

Publication date: 2 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.04.005

zbMATH Keywords

derivationstriangular algebrasnest algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Commutators, derivations, elementary operators, etc. (47B47) Derivations, actions of Lie algebras (16W25) Nest algebras, CSL algebras (47L35)

Related Items

Additive mappings derivable at non-trivial idempotents on Banach algebras ⋮ Zero product determined triangular algebras ⋮ Jordan and Jordan higher all-derivable points of some algebras ⋮ Generalized skew derivations on triangular algebras determined by action on zero products ⋮ Jordan all-derivable points in the algebra of all upper triangular matrices ⋮ Characterization of higher derivations on CSL algebras ⋮ Generalized derivable mappings and centralizable mappings on B(X) ⋮ Jordan higher all-derivable points in triangular algebras ⋮ Generalized derivations on unital algebras determined by action on zero products. ⋮ Characterizing derivations for any nest algebras on Banach spaces by their behaviors at an injective operator ⋮ Characterizations of Lie higher derivations on triangular algebras ⋮ Characterizations of Lie derivations of factor von Neumann algebras ⋮ Additive maps on rings behaving like derivations at idempotent-product elements. ⋮ Characterizations of Lie derivations of triangular algebras. ⋮ Linear mappings derivable at some nontrivial elements ⋮ On \((m,n)\)-derivations of some algebras ⋮ Characterization of linear mappings on (Banach) \(\star\)-algebras by similar properties to derivations ⋮ Characterization of Lie Derivations on Prime Rings ⋮ Characterization of derivations on reflexive algebras

Cites Work

• Nest-subalgebras of von Neumann algebras
• Jordan derivations of triangular algebras
• Derivable mappings at unit operator on nest algebras
• Additive maps derivable at some points on \(\mathcal J\)-subspace lattice algebras
• Characterizations of derivations of Banach space nest algebras: all-derivable points
• Additive Lie (\(\xi \)-Lie) derivations and generalized Lie (\(\xi \)-Lie) derivations on nest algebras
• Derivations of nest algebras
• Local derivations on operator algebras
• Commuting Maps of Triangular Algebras
• Lie Derivations of Triangular Algebras