Topological radicals, IV. Frattini theory of Banach Lie algebras

2012/08/22 by Kissin, Edward, Shulman, Victor S., Turovskii, Yuri V.
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1208.4594

Abstract

We develop the theory of topological radicals in Banach Lie algebras, consider various ways of constructing such radicals and study a family of (pre)radicals related to subalgebras and ideals of finite codimension in Banach Lie algebras. It extends to the infinite-dimensional case many results of the well known Frattini theory of Lie algebras.

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