Linear maps preserving idempotence on nest algebras

DOI10.1007/s10114-004-0314-6zbMath1085.47047OpenAlexW1998779807MaRDI QIDQ1780292

Jian Lian Cui, Jin-Chuan Hou

Publication date: 7 June 2005

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0314-6

zbMATH Keywords

idempotent operatorsJordan isomorphismsnest algebrasrank-one operators

Mathematics Subject Classification ID

Linear operators on Banach algebras (47B48) Nest algebras, CSL algebras (47L35)

Related Items

Rank-1 nilpotency linear preservers on nest algebras. ⋮ Stability of functional equations in several variables ⋮ Additive maps preserving rank-one operators on nest algebras ⋮ Nonlinear preserver problems on \(\mathcal{B}(H)\) ⋮ Additive mappings preserving rank-one idempotents

Cites Work

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• Linear preserver problems: A brief introduction and some special techniques
• Linear preservers on triangular matrices
• Chapter 2:rank and tensor rank
• Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations
• Some linear preserver problems on upper triangular matrices
• Rank-preserving linear maps on B(X)
• Linear preservers on upper triangular operator matrix algebras