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Hölder continuous homomorphisms between infinite-dimensional Lie groups are smooth

Article ID Journal Published Year Pages File Type
9495780 Journal of Functional Analysis 2005 26 Pages PDF
Abstract
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 Hölder continuous at 1, then f is smooth.
Keywords
22E35homomorphism46T2058C2046S10SmoothnessDifferentiabilityLipschitz continuityHölder continuityTaylor expansion
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Hölder continuous homomorphisms between infinite-dimensional Lie groups are smooth
Authors
Helge Glöckner,
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Journal
Journal of Functional Analysis
Journal: Journal of Functional Analysis
Related Categories
22E35
homomorphism
46T20
58C20
46S10
Smoothness
Differentiability
Lipschitz continuity
Hölder continuity
Taylor expansion
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
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