Hoelder continuous homomorphisms between infinite-dimensional Lie groups are smooth
Abstract
Description
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.
22 pages; v2: minor improvements; proof of Lemma 3.4 corrected to avoid problem with alpha=1/2
22 pages; v2: minor improvements; proof of Lemma 3.4 corrected to avoid problem with alpha=1/2