Nonstandard Hulls of Locally Exponential Lie Algebras
Differential Geometry
2008-04-04 v1 Logic
Abstract
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.
Keywords
Cite
@article{arxiv.0804.0565,
title = {Nonstandard Hulls of Locally Exponential Lie Algebras},
author = {Isaac Goldbring},
journal= {arXiv preprint arXiv:0804.0565},
year = {2008}
}