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arXiv · 2001.05694

The Dixmier-Malliavin Theorem and Bornological Vector Spaces

Gal Dor
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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.

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Gal Dor. 2020-01-16. The Dixmier-Malliavin Theorem and Bornological Vector Spaces. https://arxiv.org/abs/2001.05694

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