Decomposability of finite rank operators in Lie ideals of nest algebras

DOI10.1007/s00020-014-2171-8zbMath1322.47067OpenAlexW1991345766MaRDI QIDQ2017897

Fangyan Lu, Chaoqun Chen

Publication date: 23 March 2015

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-014-2171-8

zbMATH Keywords

decomposabilitynest algebraLie idealrank one operator

Mathematics Subject Classification ID

Nest algebras, CSL algebras (47L35)

Related Items

Kernel maps and operator decomposition

Cites Work

• Unnamed Item
• Unnamed Item
• Nest algebras are hyperfinite
• On the closed Lie ideals of certain \(C^*\)-algebras
• Lie and Jordan structures in Banach algebras
• Finite rank operators in Lie ideals of nest algebras
• CONJUGATION-INVARIANT SUBSPACES AND LIE IDEALS IN NON-SELFADJOINT OPERATOR ALGEBRAS
• Closed Lie Ideals in Operator Algebras
• Lie ideals in triangular operator algebras
• Decomposability of Reflexive Cycle Algebras
• Lie and Jordan Ideals of Operators on Hilbert Space
• On the Lie and Jordan Rings of a Simple Associative Ring
• Decomposability of finite-rank operators in commutative subspace lattice algebras