Tight Embeddability of Proper and Stable Metric Spaces Academic Article uri icon


  • Abstract 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 pns. 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.

published proceedings

  • Analysis and Geometry in Metric Spaces

altmetric score

  • 1

author list (cited authors)

  • Baudier, F., & Lancien, G.

citation count

  • 3

complete list of authors

  • Baudier, F||Lancien, G

publication date

  • January 2015