English

Uniform nonextendability from nets

Metric Geometry 2015-08-06 v2 Functional Analysis

Abstract

It is shown that there exist Banach spaces X,YX,Y, a 11-net N\mathscr{N} of XX and a Lipschitz function f:NYf:\mathscr{N}\to Y such that every F:XYF:X\to Y that extends ff is not uniformly continuous.

Keywords

Cite

@article{arxiv.1506.05391,
  title  = {Uniform nonextendability from nets},
  author = {Assaf Naor},
  journal= {arXiv preprint arXiv:1506.05391},
  year   = {2015}
}
R2 v1 2026-06-22T09:55:23.802Z