On Lie’s theorem in operator algebras

Vasilescu, F.-H.

doi:10.1090/S0002-9947-1972-0311733-7

On Lie’s theorem in operator algebras
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Trans. Amer. Math. Soc. 172 (1972), 365-372 Request permission

Abstract:

This work contains some algebraic results concerning infinite dimensional Lie algebras, as well as further statements within a topological background. Natural generalizations of the notion of radical, solvable and semisimple Lie algebra are introduced. The last part deals with variants of a Lie’s theorem in operator algebras.

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