On simplicity of Lie algebras of compact operators: a direct approach

DOI10.1016/j.jmaa.2022.126012OpenAlexW3203056809MaRDI QIDQ2075179

Sasmita Patnaik

Publication date: 14 February 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.01569

zbMATH Keywords

Lie algebrasLie idealscompact operatorsoperator ideals

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) Linear spaces and algebras of operators (47Lxx) Theory of modules and ideals in commutative rings (13Cxx)

Cites Work

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• On tractability and ideal problem in non-associative operator algebras
• On ideals and Lie ideals of compact operators
• Subideals of operators. II
• Soft ideals and arithmetic mean ideals
• Two-sided ideals and congruences in the ring of bounded operators in Hilbert space
• Banach-Lie algebras of compact operators
• Traces, ideals, and arithmetic means
• Subideals of operators

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