Weak-local derivations and homomorphisms on C*-algebras

DOI10.1080/03081087.2015.1028320zbMath1336.47039arXiv1411.4795OpenAlexW2056298068MaRDI QIDQ5890498

Ahlem Ben Ali Essaleh, Antonio M. Peralta, María Isabel Ramírez Alvarez

Publication date: 29 February 2016

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

Full work available at URL: https://arxiv.org/abs/1411.4795

zbMATH Keywords

weak-local derivationextreme-weak\(^*\)-local derivationextreme-weak\(^*\)-local\(^*\)-automorphismweak-local\(^*\)-automorphismweak\(^*\)-local derivationweak\(^*\)-local\(^*\)-automorphism

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Linear operators on Banach algebras (47B48) Linear accretive operators, dissipative operators, etc. (47B44) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear preserver problems (15A86)

Related Items

Weak\(^*\)-2-local derivations on semi-finite von Neumann algebras, 2-local automorphisms on finite-dimensional Lie algebras, 2-local \(*\)-Lie isomorphisms of operator algebras, 2-bilocal derivations, Weak-2-local derivations on finite von Neumann algebras, Linear maps on \(\mathrm{C}^\ast\)-algebras which are derivations or triple derivations at a point, Inner derivations and weak-2-local derivations on the \(\mathrm {C}^*\)-algebra \(C_0(L,A)\), On the stability of some preservers, 2-local Lie derivations of nest subalgebras of factors, Characterizations of Jordan mappings on some rings and algebras through zero products, Stability of derivations under weak-2-local continuous perturbations, Bilocal *-automorphisms of \(B(H)\) satisfying the 3-local property, 2-Local Lie derivations on semi-finite factor von Neumann algebras, 2-local ⁎-Lie automorphisms of semi-finite factors, Weak-local triple derivations on \(\mathrm{C}^{\ast}\)-algebras and \(\mathrm{JB}^{\ast}\)-triples, The structure of 2-local Lie derivations on von Neumann algebras, Bilocal Lie derivations on factor von Neumann algebras, Weak-2-local symmetric maps on \(C^\ast\)-algebras

Cites Work

• Jordan mappings of semiprime rings
• Annihilator-preserving maps, multipliers, and derivations
• Derivations, dissipations and group actions on \(C^ *\)-algebras
• On a conjecture of Kaplansky
• Characterizations of derivations on some normed algebras with involution
• On the continuity of semi-norms on operator algebras
• Dissipations and derivations
• Local derivations
• On topological reflexivity of the groups of \(^*\)-automorphisms and surjective isometries of \({\mathcal B}(H)\)
• Bilocal \(^\ast\)-automorphisms of \(B(H)\)
• A characterization of maximal ideals
• Isometries of operator algebras
• Bilocal derivations of standard operator algebras
• Local derivations on $C^*$-algebras are derivations
• On local representations of von Neumann algebras
• Linear Functionals on Operator Algebras and Their Abelian Subalgebras
• Local derivations on Jordan triples
• Local triple derivations on C∗-algebras and JB∗-triples
• Automatic Continuity of Derivations of Operator Algebras