Comparison of some notions of C^k-maps in multi-variable non-archimedian analysis

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dc.creatorGlockner, Helge
dc.date2006-09-01
dc.date.accessioned2026-07-07T07:24:25Z
dc.date.available2026-07-07T07:24:25Z
dc.descriptionVarious definitions of C^k-maps on open subsets of finite-dimensional vector spaces over a complete valued field have been proposed in the literature. We show that the C^k-maps considered by Schikhof and De Smedt coincide with those of Bertram, Glockner and Neeb. By contrast, Ludkovsky's C^k-maps need not be C^k in the former sense, at least in positive characteristic. We also compare various types of Holder differentiable maps on finite-dimensional and metrizable spaces.
dc.descriptionextended preprint version (46 pages) with additional appendices B and C
dc.identifierhttps://arxiv.org/abs/math/0609041
dc.identifierhttp://arxiv.org/abs/math/0609041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116347
dc.subjectFunctional Analysis
dc.subjectGeneral Mathematics
dc.subject26E30 (Primary) 26E20; 46A16; 46G05; 46S10 (Secondary)
dc.titleComparison of some notions of C^k-maps in multi-variable non-archimedian analysis
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