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Nonstandard hulls of Banach-Lie groups and algebras

Vladimir G. Pestov
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Abstract

We propose a new construction of Banach-Lie groups and algebras relying on nonstandard analysis. A major standard application is the Local Theorem which to certain extent reduces the problem of associating a Lie group to a given banach-Lie algebra to a similar problem for finitely generated Lie subalgebras. We discuss possible applications, e.g., to gauge theories.

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BibTeXRIS

Vladimir G. Pestov. 1992-05-19. Nonstandard hulls of Banach-Lie groups and algebras. https://arxiv.org/abs/funct-an/9205003

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