Similarity invariant subspaces and Lie ideals in operator algebras.

DOI10.1007/BF01217529zbMath1042.47050OpenAlexW2032514477MaRDI QIDQ1865918

Yanyan Li

Publication date: 15 July 2003

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

Full work available at URL: https://doi.org/10.1007/bf01217529

zbMATH Keywords

invariant subspaceLie idealsseparable Hilbert spacecommutatorrich in commutators

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Linear spaces of operators (47L05) Operator ideals (47L20) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (1)

Lie ideals: from pure algebra to C*-algebras

Cites Work

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• Operators which weakly perturb the spectrum
• Banach spaces with small spaces of operators
• Structure of commutators of operators
• Two-sided ideals and congruences in the ring of bounded operators in Hilbert space
• Commutators on a Separable L p -Space
• The homotopy structure of the linear group of a Banach space

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