Uniform nonextendability from nets

2015/06/17 by Naor, Assaf
#FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1506.05391

Abstract

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

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