TY - JOUR
T1 - Construction of pathological Gâteaux differentiable functions
AU - Deville, Robert
AU - Ivanov, Milen
AU - Lajara, Sebastián
PY - 2015/1/1
Y1 - 2015/1/1
N2 - We prove that for many pairs (X, Y) of classical Banach spaces, there exists a bounded, Lipschitz, Gâteaux differentiable function from X to Y whose derivatives are all far apart.
AB - We prove that for many pairs (X, Y) of classical Banach spaces, there exists a bounded, Lipschitz, Gâteaux differentiable function from X to Y whose derivatives are all far apart.
UR - http://www.scopus.com/inward/record.url?scp=84924756097&partnerID=8YFLogxK
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U2 - 10.1090/S0002-9939-2014-12206-4
DO - 10.1090/S0002-9939-2014-12206-4
M3 - Article
SN - 0002-9939
VL - 143
SP - 129
EP - 139
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 1
ER -