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Hoelder continuous homomorphisms between infinite-dimensional Lie groups are smooth

Helge Glockner
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Abstract

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.

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Helge Glockner. 2004-04-30. Hoelder continuous homomorphisms between infinite-dimensional Lie groups are smooth. https://arxiv.org/abs/math/0403251

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