Characterizations of Jordan mappings on some rings and algebras through zero products

DOI10.1080/03081087.2017.1298081zbMath1414.16037arXiv1611.04274OpenAlexW2593561839MaRDI QIDQ4640071

Jiankui Li, Jun He, Wenbo Huang

Publication date: 16 May 2018

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

Full work available at URL: https://arxiv.org/abs/1611.04274

zbMATH Keywords

von Neumann algebramultiplierderivationJordan derivationgeneralized matrix ring

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Derivations, actions of Lie algebras (16W25) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (4)

Unnamed Item ⋮ On maps preserving products of matrices ⋮ Nonlinear Jordan derivable mappings of generalized matrix algebras by Lie product square-zero elements ⋮ Linear maps on block upper triangular matrix algebras behaving like Jordan derivations through commutative zero products

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Automatic continuity of derivations on \(C^\ast\)-algebras and \(JB^\ast\)-triples
• Jordan derivations of triangular algebras
• Jordan derivations of full matrix algebras.
• Annihilator-preserving maps, multipliers, and derivations
• Local derivations and local automorphisms.
• Zero Jordan product determined algebras
• Lie derivations of certain CSL algebras
• Characterizations of linear mappings through zero products or zero Jordan products
• On derivations and Jordan derivations through zero products
• A survey on local and 2-local derivations on C*- and von Neuman algebras
• Characterizations of Jordan derivations on rings with idempotent
• Maps preserving zero products
• Jordan Derivations on Rings
• On mappings preserving zero products
• Characterizing Jordan maps on C*-algebras through zero products
• A note on 2-local representations of C^∗-algebras
• Local Triple Derivations onC*-Algebras^†
• Jordan Derivations of Prime Rings
• Characterizing Jordan Derivations of Matrix Rings Through Zero Products
• Characterizing homomorphisms and derivations on C*-algebras
• Weak-local derivations and homomorphisms on C*-algebras

This page was built for publication: Characterizations of Jordan mappings on some rings and algebras through zero products