Banach Lie algebras with Lie subalgebras of finite codimension: their invariant subspaces and Lie ideals

DOI10.1016/j.jfa.2008.10.012zbMath1170.47057OpenAlexW2093743829MaRDI QIDQ1004364

Yuriĭ V. Turovskiĭ, Edward Kissin, Viktor S. Shul'man

Publication date: 3 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.10.012

zbMATH Keywords

invariant subspacesLie algebras of bounded operators

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Jordan structures on Banach spaces and algebras (17C65) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items

Topological radicals and Frattini theory of Banach Lie algebras, On tractability and ideal problem in non-associative operator algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the structure of algebraic algebras
• Volterra semigroups have invariant subspaces
• Joint spectral radius, operator semigroups, and a problem of W. Wojtyński
• On the closed Lie ideals of certain \(C^*\)-algebras
• Simultaneous triangularization
• Invariant subspaces of operator Lie algebras and Lie algebras with compact adjoint action
• On the cohomology of soluble Lie algebras
• On Some Reflexive Algebras of Operators and the Operator Lie Algebras of Their Derivations
• Associative and Lie subalgebras of finite codimension
• Lie ideals: from pure algebra to C*-algebras
• A Solution to the Invariant Subspace Problem on the Space l ₁
• On normed Lie algebras with sufficiently many subalgebras of codimension I
• Lie algebras all of whose maximal subalgebras have codimension one
• Quasi-Ideals of Lie Algebras II
• Lie algebras of bounded operators