Solvable Jordan algebras of compact operators

DOI10.1016/j.laa.2009.10.043zbMath1459.47030OpenAlexW2047857582MaRDI QIDQ847220

Shan Li Sun, Xue Feng Ma

Publication date: 12 February 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.10.043

zbMATH Keywords

invariant subspaceJordan algebrasolvableEngel ideal

Mathematics Subject Classification ID

Jordan structures on Banach spaces and algebras (17C65) Nonassociative nonselfadjoint operator algebras (47L70) Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. (47A46)

Cites Work

• Unnamed Item
• Invariant subspaces of subgraded Lie algebras of compact operators
• Invariant subspaces for the family of operators which commute with a completely continuous operator
• Volterra semigroups have invariant subspaces
• From local to global triangularization
• Joint spectral radius, operator semigroups, and a problem of W. Wojtyński
• Invariant subspaces of operator Lie algebras and Lie algebras with compact adjoint action
• Triangularization of a Jordan algebra of Schatten operators
• Banach-Lie algebras of compact operators

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