The Frolicher--Kriegl differentiabilities as a particular case of the Bertram--Glockner--Neeb construction

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dc.creatorHiltunen, Seppo I.
dc.date2008-04-27
dc.date.accessioned2026-07-07T09:35:33Z
dc.date.available2026-07-07T09:35:33Z
dc.descriptionWe prove that the order $k$ differentiability classes for $k=0,1,...\infty$ in the "arc-generated" interpretation of the Lipschitz theory of differentiation by Frolicher and Kriegl can be obtained as particular cases of the general construction by Bertram, Glockner and Neeb leading to $C^k$ differentiabilities from a given $C^0$ concept.
dc.description8 pages, AmS-LaTeX
dc.identifierhttps://arxiv.org/abs/0804.4273
dc.identifierhttp://arxiv.org/abs/0804.4273
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159866
dc.subjectFunctional Analysis
dc.subject46T20, 46G05 (Primary); 58C25, 58C20, 46A17 (Secondary)
dc.titleThe Frolicher--Kriegl differentiabilities as a particular case of the Bertram--Glockner--Neeb construction
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