%0 Journal Article
%T Nonstandard Hulls of Locally Exponential Lie Algebras
%A Isaac Goldbring
%J Mathematics
%D 2008
%I arXiv
%X We show how to construct the nonstandard hull of certain infinite-dimensional Lie algebras in order to generalize a theorem of Pestov on the enlargeability of Banach-Lie algebras. In the process, we consider a nonstandard smoothness condition on functions between locally convex spaces to ensure that the induced function between the nonstandard hulls is smooth. We also discuss some conditions on a function between locally convex spaces which guarantee that its nonstandard extension maps finite points to finite points.
%U http://arxiv.org/abs/0804.0565v1