On Gateaux differentiable bump functions
Hernández, Francisco ; Troyanski, Stanimir
Studia Mathematica, Tome 119 (1996), p. 135-143 / Harvested from The Polish Digital Mathematics Library
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It is shown that the order of Gateaux smoothness of bump functions on a wide class of Banach spaces with unconditional basis is not better than that of Fréchet differentiability. It is proved as well that in the separable case this order for Banach lattices satisfying a lower p-estimate for 1≤ p < 2 can be only slightly better.

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:216268 
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     year = {1996},
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Hernández, Francisco; Troyanski, Stanimir. On Gateaux differentiable bump functions. Studia Mathematica, Tome 119 (1996) pp. 135-143. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv118i2p135bwm/

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