The Dixmier-Malliavin Theorem and Bornological Vector Spaces
Representation Theory
2020-01-17 v1
Abstract
This note is intended to reformulate the Dixmier-Malliavin theorem about smooth group representations in the language of bornological vector spaces, instead of topological vector spaces. This language turns out to allow a more general theorem to be proven, and we are able to use it to strengthen a result of Meyer from arXiv:math/0310094. This paper is based on a part of the author's thesis.
Cite
@article{arxiv.2001.05694,
title = {The Dixmier-Malliavin Theorem and Bornological Vector Spaces},
author = {Gal Dor},
journal= {arXiv preprint arXiv:2001.05694},
year = {2020}
}