Bootstrapping Kirszbraun's extension theorem
Eva Kopecká
Fundamenta Mathematicae, Tome 219 (2012), p. 13-19 / Harvested from The Polish Digital Mathematics Library

We show how Kirszbraun's theorem on extending Lipschitz mappings in Hilbert space implies its own generalization. There is a continuous extension operator preserving the Lipschitz constant of every mapping.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:282612
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm217-1-2,
     author = {Eva Kopeck\'a},
     title = {Bootstrapping Kirszbraun's extension theorem},
     journal = {Fundamenta Mathematicae},
     volume = {219},
     year = {2012},
     pages = {13-19},
     zbl = {1244.54040},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm217-1-2}
}
Eva Kopecká. Bootstrapping Kirszbraun's extension theorem. Fundamenta Mathematicae, Tome 219 (2012) pp. 13-19. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm217-1-2/