Holder continuous homomorphisms between infinite-dimensional Lie groups are smooth

被引：4

作者：

Glöckner, H ^{[1
]}

机构：

[1] TU Darmstadt, FB Math AG 5, D-64289 Darmstadt, Germany

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 228卷 / 02期

关键词：

infinite-dimensional Lie group; homomorphism; Holder continuity; Lipschitz continuity; Taylor expansion; differentiability; smoothness; power map;

D O I：

10.1016/j.jfa.2005.06.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f : G -> H be a homomorphism between smooth Lie groups modelled on Mackey complete, locally convex real topological vector spaces. We show that if f is Holder continuous at 1, then f is smooth. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：419 / 444

页数：26

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