A decomposition theorem for Lie ideals in nest algebras

DOI10.1007/S00013-011-0330-6zbMath1230.47105OpenAlexW1998943872MaRDI QIDQ658308

Juan-Miguel Gracia

Publication date: 12 January 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0330-6

zbMATH Keywords

finite rank operatornest algebraLie idealrank one operatorternary ring of operators (TRO)

Mathematics Subject Classification ID

Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nest algebras, CSL algebras (47L35) Nonselfadjoint (sub)algebras in algebras with involution (46K50)

Related Items (1)

Weakly closed Lie modules of nest algebras

Cites Work

• Unnamed Item
• A characterization of ternary rings of operators
• Nest algebras are hyperfinite
• Finite rank operators in Lie ideals of nest algebras
• CONJUGATION-INVARIANT SUBSPACES AND LIE IDEALS IN NON-SELFADJOINT OPERATOR ALGEBRAS
• A Characterization of Inner Ideals in JB ∗ -Triples
• Lie ideals in triangular operator algebras
• Weak*–closed Jordan ideals of nest algebras
• Open partial isometries and positivity in operator spaces
• Operators of Finite Rank in Nest Algebras

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