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

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

2008-04-27

arxiv.org/abs/0804.4273v1

Mathematics

Functional Analysis

8 pages, AmS-LaTeX

Scientific paper

We 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.

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