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Fréchet differentiability of Lipschitz functions via a variational principle
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Lindenstrauss, J., Preiss, David and Tiser, J.. (2010) Fréchet differentiability of Lipschitz functions via a variational principle. Journal of the European Mathematical Society, Vol.12 (No.2). pp. 385-412. ISSN 1435-9855
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Official URL: http://dx.doi.org/10.4171/JEMS/202
Abstract
We prove a new variational principle which in particular does not assume the completeness of the domain. As an application we give a new, more natural, proof of the fact that a real valued Lipschitz function on an Asplund space has points of Frechet differentiability.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Journal of the European Mathematical Society |
| Publisher: | European Mathematical Society Publishing House |
| ISSN: | 1435-9855 |
| Official Date: | 2010 |
| Volume: | Vol.12 |
| Number: | No.2 |
| Number of Pages: | 28 |
| Page Range: | pp. 385-412 |
| Identification Number: | 10.4171/JEMS/202 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | GACR, MSM |
| Grant number: | GACR3, 6840770010 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/6227 |
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