Lie isomorphisms of reflexive algebras

DOI10.1016/J.JFA.2006.07.012zbMath1116.47059OpenAlexW2012950353MaRDI QIDQ860775

Fangyan Lu

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.07.012

zbMATH Keywords

CSL algebrasCDCSL algebrasLie isomorphismstriple nilpotent commutator Lie ideals

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (11)

Lie isomorphisms of reflexive algebras. II. ⋮ Equivalent characterization of derivations on operator algebras ⋮ Centralizing traces and Lie triple isomorphisms on generalized matrix algebras ⋮ Characterization of higher derivations on CSL algebras ⋮ Lie isomorphisms of nest algebras on Banach spaces ⋮ Linear mappings derivable at some nontrivial elements ⋮ Centralizing traces and Lie-type isomorphisms on generalized matrix algebras: a new perspective ⋮ Centralizing traces and Lie triple isomorphisms on triangular algebras ⋮ Characterizations of generalized derivations associated with hochschild 2-cocycles and higher derivations ⋮ Characterization of derivations on reflexive algebras ⋮ On Jordan centralizers of triangular algebras

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