Lie subalgebras in a certain operator Lie algebra with involution

DOI10.1007/s10114-011-9402-6zbMath1360.17010OpenAlexW1995709760WikidataQ115385245 ScholiaQ115385245MaRDI QIDQ475762

Xue Feng Ma, Shan Li Sun

Publication date: 27 November 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9402-6

zbMATH Keywords

skew operatorE-solvable Lie algebrageneralized scalar operatorideally finite

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Simple, semisimple, reductive (super)algebras (17B20) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Cites Work

• Cartan--Slodkowski spectra, splitting elements and noncommutative spectral mapping theorems
• Lie algebras generated by bounded linear operators on Hilbert spaces
• Properties which normal operators share with normal derivations and related operators
• Joint spectral radius, operator semigroups, and a problem of W. Wojtyński
• Finite-dimensional solvable Lie algebras generated by normal operators are commutative
• Invariant subspaces of operator Lie algebras and Lie algebras with compact adjoint action
• When products of selfadjoints are normal
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