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

共 50 条

[21] Hilbert-Schmidt groups as infinite-dimensional Lie groups and their Riemannian geometry
Gordina, M
JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 227 (02) : 245 - 272
[22] Completeness of locally kw-groups and related infinite-dimensional Lie groups
Gloeckner, Helge
TOPOLOGY AND ITS APPLICATIONS, 2017, 228 : 277 - 284
[23] Spaces of smooth functions and distributions on infinite-dimensional compact groups
Bendikov, A
Saloff-Coste, L
JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 218 (01) : 168 - 218
[24] On some pro- groups from infinite-dimensional Lie theory
Capdeboscq, Inna
Remy, Bertrand
MATHEMATISCHE ZEITSCHRIFT, 2014, 278 (1-2) : 39 - 54
[25] Infinite-dimensional Lie groups of symmetries of the ideal MHD equilibrium equations
Bogoyavlenskij, OI
GROUP 24 : PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRIES, 2003, 173 : 713 - 716
[26] The application of a class of infinite-dimensional lie groups to the dynamics of an incompressible fluid
Lukatskii, AM
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2003, 67 (05): : 693 - 702
[27] SPECIAL-FUNCTIONS AND INFINITE-DIMENSIONAL REPRESENTATIONS OF LIE-GROUPS
FEINSILVER, P
SCHOTT, R
MATHEMATISCHE ZEITSCHRIFT, 1990, 203 (02) : 173 - 191
[28] IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL TRANSFORMATION GROUPS AND LIE-ALGEBRAS
CHERNOFF, PR
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 13 (01) : 46 - 48
[29] Semi-bounded unitary representations of infinite-dimensional Lie groups
Neeb, K. -H.
INFINITE DIMENSIONAL HARMONIC ANALYSIS IV, 2009, : 209 - 222
[30] Infinite-dimensional Hamiltonian Lie superalgebras
MU Qiang1
2School of Mathematics
Science China(Mathematics), 2010, 53 (06) : 1625 - 1634

← 1 2 3 4 5 →