Characterization of Lie multiplicative isomorphisms between nest algebras

DOI10.1007/s11425-011-4194-9zbMath1273.47123OpenAlexW2014445035MaRDI QIDQ424897

Xiao Fei Qi, Jin-Chuan Hou

Publication date: 7 June 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4194-9

zbMATH Keywords

Banach spacesnest algebrasLie multiplicative mapsLie ring isomorphisms

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Nest algebras, CSL algebras (47L35)

Related Items

Centralizing traces and Lie triple isomorphisms on generalized matrix algebras, Characterizing \(\xi\)-Lie multiplicative isomorphisms on von Neumann algebras, Transformations of the unitary group on a Hilbert space, Lie ring isomorphisms between nest algebras on Banach spaces, Centralizing traces and Lie triple isomorphisms on triangular algebras

Cites Work

• Unnamed Item
• Lie isomorphisms of nest algebras
• Lie isomorphisms in prime rings with involution
• Ring isomorphisms and linear or additive maps preserving zero products on nest algebras
• On Herstein's Lie map conjectures. III
• On Herstein’s Lie map conjectures, I
• Additivity of Lie multiplicative maps on triangular algebras
• Multiplicative Lie Isomorphisms Between Prime Rings
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Continuity of Lie Isomorphisms of Banach Algebras
• Lie Isomorphisms of Simple Rings
• Lie Isomorphisms of Prime Rings