English

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

Functional Analysis 2008-04-29 v1

Abstract

We prove that the order kk differentiability classes for k=0,1,...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 CkC^k differentiabilities from a given C0C^0 concept.

Keywords

Cite

@article{arxiv.0804.4273,
  title  = {The Frolicher--Kriegl differentiabilities as a particular case of the Bertram--Glockner--Neeb construction},
  author = {Seppo I. Hiltunen},
  journal= {arXiv preprint arXiv:0804.4273},
  year   = {2008}
}

Comments

8 pages, AmS-LaTeX