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 -