Hoelder continuous homomorphisms between infinite-dimensional Lie groups are smooth
群论
2007-05-23 v2 泛函分析
摘要
It is an open problem whether every continuous homomorphism between infinite-dimensional Lie groups is smooth. In this article, we show that every Hoelder continuous homomorphism is smooth.
引用
@article{arxiv.math/0403251,
title = {Hoelder continuous homomorphisms between infinite-dimensional Lie groups are smooth},
author = {Helge Glockner},
journal= {arXiv preprint arXiv:math/0403251},
year = {2007}
}
备注
22 pages; v2: minor improvements; proof of Lemma 3.4 corrected to avoid problem with alpha=1/2