Conveniently Hoelder homomorphisms are smooth in the convenient sense

2004/04/19 by Helge Glöckner, Helge Glockner, Glockner, Helge
Mathematics · #22E65 (Primary) 26E15 #26E20 #46T20 #58C20 (Secondary) #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.GR #msc:22E65 #msc:26E15 #msc:26E20 #msc:46T20 #msc:58C20

paper · pdf · doi:10.48550/arxiv.math/0404344

25 pages, LaTeX; v2: minor improvements, typos corrected

openalex publication_date 2004/04/19 · arxiv created 2004/04/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that every 'conveniently Hoelder' homomorphism between Lie groups in the sense of convenient differential calculus is smooth (in the convenient sense). In particular, every Lip⁰ homomorphism is smooth.

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