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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. doi:10.4171/JEMS/202 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, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Journal of the European Mathematical Society | ||||
| Publisher: | European Mathematical Society Publishing House | ||||
| ISSN: | 1435-9855 | ||||
| Official Date: | 2010 | ||||
| Dates: |
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| Volume: | Vol.12 | ||||
| Number: | No.2 | ||||
| Number of Pages: | 28 | ||||
| Page Range: | pp. 385-412 | ||||
| DOI: | 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 |
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