On Jordan all-derivable points of \(\mathcal B(\mathcal H)\)

DOI10.1016/j.laa.2008.09.006zbMath1163.47030OpenAlexW2083677498MaRDI QIDQ999775

Jing Wu

Publication date: 10 February 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.2008.09.006

zbMATH Keywords

derivationgeneralized derivationJordan all-derivable pointgeneralized Jordan all-derivable pointgeneralized Jordan derivable mapJordan derivable map

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Linear operators on Banach algebras (47B48)

Related Items (16)

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 ⋮ Characterizing additive \(\xi\)-Lie derivations of prime algebras by \(\xi\)-Lie zero products. ⋮ Conjugate linear maps from \(C^*\)-algebras into their dual spaces which are ternary derivable at the unit element ⋮ Characterization of Lie-type higher derivations of triangular rings ⋮ Jordan higher all-derivable points in triangular algebras ⋮ Linear maps which are anti-derivable at zero ⋮ Linear maps between C*-algebras that are *-homomorphisms at a fixed point ⋮ Characterizations of Lie derivations of factor von Neumann algebras ⋮ Additive maps derivable or Jordan derivable at zero point on nest algebras ⋮ Characterizations of Lie derivations of triangular algebras. ⋮ Characterizations of Jordan derivations on rings with idempotent ⋮ Multiplicative mappings at some points on matrix algebras ⋮ A linear preserver problem on maps which are triple derivable at orthogonal pairs ⋮ Linear maps on block upper triangular matrix algebras behaving like Jordan derivations through commutative zero products ⋮ Characterizations of Lie derivations of \(B(X)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Derivable mappings at unit operator on nest algebras
• Local derivations
• All-derivable points of operator algebras
• Sums of small numbers of idempotents
• Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations
• Characterisations of derivations on some operator algebras
• On local automorphisms and mappings that preserve idempotents

This page was built for publication: On Jordan all-derivable points of \(\mathcal B(\mathcal H)\)