Quasinilpotent Banach-Lie algebras are Baker-Campbell-Hausdorff

DOI10.1006/jfan.1997.3202zbMath0934.46053OpenAlexW2011472148MaRDI QIDQ1269625

Wojciech Wojtyński

Publication date: 3 April 2000

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

Full work available at URL: https://doi.org/10.1006/jfan.1997.3202

zbMATH Keywords

quasinilpotent operatorsEngel theoremBanach-Lie algebrasBaker-Campbell-Hausdorff seriesquasinilpotence

Mathematics Subject Classification ID

Nonassociative topological algebras (46H70) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (10)

On the theory of topological radicals ⋮ Spin groups of super metrics and a theorem of Rogers ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ The orthogonal Lie algebra of operators: ideals and derivations ⋮ The early proofs of the theorem of Campbell, Baker, Hausdorff, and Dynkin ⋮ Topological Radicals, II. Applications to Spectral Theory of Multiplication Operators ⋮ Invariant subspaces of operator Lie algebras and Lie algebras with compact adjoint action ⋮ Joint spectral radius and invariant subspaces ⋮ Hilbert--Schmidt groups as infinite-dimensional Lie groups and their Riemannian geometry ⋮ Joint spectral radius, operator semigroups, and a problem of W. Wojtyński

Cites Work

• A primer on spectral theory
• Banach-Lie algebras of compact operators
• Théorie du potentiel newtonien : énergie, capacité, suites de potentiels
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