Geodesic
Tight Embeddability of Proper and Stable Metric Spaces
Analysis and Geometry in Metric Spaces, Tome 3 (2015) no. 1

Voir la notice de l'article provenant de la source The Polish Digital Mathematics Library

Zbl
We introduce the notions of almost Lipschitz embeddability and nearly isometric embeddability. We prove that for p ∈ [1,∞], every proper subset of Lp is almost Lipschitzly embeddable into a Banach space X if and only if X contains uniformly the lpn’s. We also sharpen a result of N. Kalton by showing that every stable metric space is nearly isometrically embeddable in the class of reflexive Banach spaces.
Mots-clés : almost Lipschitz embeddability, nearly isometric embeddability, proper metric spaces, stable metric spaces 
Baudier, F.; Lancien, G. Tight Embeddability of Proper and Stable Metric Spaces. Analysis and Geometry in Metric Spaces, Tome 3 (2015) no. 1. http://geodesic.mathdoc.fr/item/AGMS_2015_3_1_a6/
@article{AGMS_2015_3_1_a6,
     author = {Baudier, F. and Lancien, G.},
     title = {Tight {Embeddability} of {Proper} and {Stable} {Metric} {Spaces}},
     journal = {Analysis and Geometry in Metric Spaces},
     year = {2015},
     volume = {3},
     number = {1},
     zbl = {1341.46015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AGMS_2015_3_1_a6/}
}
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