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arXiv · 1208.4594

Topological radicals, IV. Frattini theory of Banach Lie algebras

Edward Kissin·Victor S. Shulman·Yuri V. Turovskii
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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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Edward Kissin, Victor S. Shulman, Yuri V. Turovskii. 2012-08-22. Topological radicals, IV. Frattini theory of Banach Lie algebras. https://arxiv.org/abs/1208.4594

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