Hölder continuous homomorphisms between infinite-dimensional Lie groups are smooth

DOI10.1016/j.jfa.2005.06.023zbMath1079.22017arXivmath/0403251OpenAlexW2080882465MaRDI QIDQ2577505

Helge Glöckner

Publication date: 22 December 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403251

zbMATH Keywords

differentiabilityHölder continuityTaylor expansioninfinite-dimensional Lie group

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Analysis on (p)-adic Lie groups (22E35) Continuous and differentiable maps in nonlinear functional analysis (46T20) Calculus of functions on infinite-dimensional spaces (26E15) Non-Archimedean analysis (26E30) Calculus of functions taking values in infinite-dimensional spaces (26E20)

Related Items (3)

Direct limits of infinite-dimensional Lie groups compared to direct limits in related categories ⋮ Lie group structures on groups of smooth and holomorphic maps on non-compact manifolds ⋮ Existence results for a super-Liouville equation on compact surfaces

Cites Work

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• Banach-Lie quotients, enlargibility, and universal complexifications
• The various definitions of the derivative in linear topological spaces
• The structure of compact groups. A primer for the student -- a handbook for the expert

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