Stepanoff's theorem in separable Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 2, pp. 323-335
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Stepanoff's theorem is extended to infinitely dimensional separable Banach spaces.
Stepanoff's theorem is extended to infinitely dimensional separable Banach spaces.
Classification :
46A65, 46G05
Keywords: Gateaux differentiable functions; Lipschitz functions at a point; Radon-Nikodym property
Keywords: Gateaux differentiable functions; Lipschitz functions at a point; Radon-Nikodym property
Bongiorno, Donatella. Stepanoff's theorem in separable Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 2, pp. 323-335. http://geodesic.mathdoc.fr/item/CMUC_1998_39_2_a8/
@article{CMUC_1998_39_2_a8,
author = {Bongiorno, Donatella},
title = {Stepanoff's theorem in separable {Banach} spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {323--335},
year = {1998},
volume = {39},
number = {2},
mrnumber = {1651959},
zbl = {0937.46038},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1998_39_2_a8/}
}