TY - JOUR
T1 - Uniform nonextendability from nets
AU - Naor, Assaf
N1 - Funding Information:
Supported by NSF grant CCF-0832795 , BSF grant 2010021 , the Packard Foundation and the Simons Foundation .
Publisher Copyright:
© 2015 Académie des sciences.
PY - 2015/11
Y1 - 2015/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84947706966&partnerID=8YFLogxK
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U2 - 10.1016/j.crma.2015.09.005
DO - 10.1016/j.crma.2015.09.005
M3 - Article
AN - SCOPUS:84947706966
VL - 353
SP - 991
EP - 994
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
SN - 1631-073X
IS - 11
ER -