All-derivable points in matrix algebras

DOI10.1016/j.laa.2008.11.011zbMath1167.15012OpenAlexW1967221704WikidataQ62037130 ScholiaQ62037130MaRDI QIDQ1014472

Jun Zhu, Changping Xiong, Lin Zhang

Publication date: 29 April 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.2008.11.011

zbMATH Keywords

matrix algebraderivationderivable mappingall-derivable point

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Commutators, derivations, elementary operators, etc. (47B47) Algebraic systems of matrices (15A30)

Related Items

Derivable maps and generalized derivations on nest and standard algebras, Linear maps on matrix algebra Jordan derivable at involutory matrices, On maps characterized by action on equal products, Jordan higher all-derivable points on nontrivial nest algebras, On bilinear maps determined by rank one matrices with some applications, Derivable maps and derivational points, Nonlinear mappings on full matrices derivable at zero point, Idempotent elements determined matrix algebras, Maps determined by action on identity-product elements, Nonlinear mappings on upper triangular matrices derivable at zero point, Characterizations of Jordan derivations on rings with idempotent, Multiplicative mappings at some points on matrix algebras

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
• Additive maps derivable at some points on \(\mathcal J\)-subspace lattice algebras
• Local derivations on operator algebras
• All-derivable points of operator algebras
• Characterisations of derivations on some operator algebras