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
收藏
页码：419 / 444
页数：26
相关论文
共 50 条
12345