Lie ring isomorphisms between nest algebras on Banach spaces

DOI10.1016/j.jfa.2014.01.018zbMath1312.47094arXiv1301.7553OpenAlexW2075110036MaRDI QIDQ2253107

Juan Deng, Jin-Chuan Hou, Xiao Fei Qi

Publication date: 25 July 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.7553

zbMATH Keywords

Banach spacesnest algebrasLie ring isomorphisms

Mathematics Subject Classification ID

Nest algebras, CSL algebras (47L35)

Related Items (5)

Lie isomorphisms of reflexive algebras. II. ⋮ LIE-TYPE DERIVATIONS OF NEST ALGEBRAS ON BANACH SPACES AND RELATED TOPICS ⋮ Centralizing traces and Lie triple isomorphisms on generalized matrix algebras ⋮ Additive maps preserving nilpotent perturbation of scalars ⋮ Centralizing traces and Lie-type isomorphisms on generalized matrix algebras: a new perspective

Cites Work

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• Lie isomorphisms of nest algebras on Banach spaces
• Characterization of Lie multiplicative isomorphisms between nest algebras
• Lie isomorphisms of nest algebras
• Lie isomorphisms in prime rings with involution
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• Commuting traces and commutativity preserving maps on triangular algebras.
• Multiplicative Lie Isomorphisms Between Prime Rings
• Additive maps preserving rank-one operators on nest algebras
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Operators of Rank One in Reflexive Algebras
• Lie Isomorphisms of Prime Rings

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