Ultrametric and non-locally convex analogues of the general curve lemma of convenient differential calculus

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dc.creatorGlockner, Helge
dc.date2006-09-01
dc.date2007-04-11
dc.date.accessioned2026-07-07T07:56:02Z
dc.date.available2026-07-07T07:56:02Z
dc.descriptionThe General Curve Lemma is a tool of Infinite-Dimensional Analysis, which enables refined studies of differentiability properties of mappings between real locally convex spaces. In this article, we generalize the General Curve Lemma in two ways: First, we remove the condition of local convexity in the real case. Second, we adapt the lemma to the case of curves in topological vector spaces over ultrametric fields.
dc.description23 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0609040
dc.identifierhttp://arxiv.org/abs/math/0609040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127163
dc.subjectFunctional Analysis
dc.subject26E15; 26E20; 26E30; 46A16; 46S10; 45T20
dc.titleUltrametric and non-locally convex analogues of the general curve lemma of convenient differential calculus
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