论文标题
dixmier-malliavin定理和出生学矢量空间
The Dixmier-Malliavin Theorem and Bornological Vector Spaces
论文作者
论文摘要
该注释旨在重新调整有关Bornologicy Vector空间语言平滑的群体表示的Dixmier-Malliavin定理,而不是拓扑矢量空间。事实证明,这种语言可以证明更一般的定理,我们能够使用它来加强来自Arxiv的Meyer的结果:Math/0310094。本文基于作者论文的一部分。
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.