Uniform nonextendability from nets

Assaf Naor

doi:10.1016/j.crma.2015.09.005

Uniform nonextendability from nets

Assaf Naor

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

It is shown that there exist Banach spaces X, Y, a 1-net N of X and a Lipschitz function f:N→Y such that every F:. X→. Y that extends f is not uniformly continuous.

Original language	English (US)
Pages (from-to)	991-994
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	353
Issue number	11
DOIs	https://doi.org/10.1016/j.crma.2015.09.005
State	Published - Nov 2015

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1016/j.crma.2015.09.005

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title = "Uniform nonextendability from nets",

abstract = "It is shown that there exist Banach spaces X, Y, a 1-net N of X and a Lipschitz function f:N→Y such that every F:. X→. Y that extends f is not uniformly continuous.",

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