Geodesic
On Gateaux differentiable bump functions
Studia Mathematica, Tome 118 (1996) no. 2, pp. 135-143

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-118-2-135-143

Francisco L. Hernández 1

1 
@article{10_4064_sm_118_2_135_143,
     author = {Francisco L. Hern\'andez},
     title = {On {Gateaux} differentiable bump functions},
     journal = {Studia Mathematica},
     pages = {135--143},
     publisher = {mathdoc},
     volume = {118},
     number = {2},
     year = {1996},
     doi = {10.4064/sm-118-2-135-143},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-118-2-135-143/}
}
TY  - JOUR
AU  - Francisco L. Hernández
TI  - On Gateaux differentiable bump functions
JO  - Studia Mathematica
PY  - 1996
SP  - 135
EP  - 143
VL  - 118
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-118-2-135-143/
DO  - 10.4064/sm-118-2-135-143
LA  - en
ID  - 10_4064_sm_118_2_135_143
ER  - 
%0 Journal Article
%A Francisco L. Hernández
%T On Gateaux differentiable bump functions
%J Studia Mathematica
%D 1996
%P 135-143
%V 118
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-118-2-135-143/
%R 10.4064/sm-118-2-135-143
%G en
%F 10_4064_sm_118_2_135_143
Francisco L. Hernández. On Gateaux differentiable bump functions. Studia Mathematica, Tome 118 (1996) no. 2, pp. 135-143. doi: 10.4064/sm-118-2-135-143

Cité par Sources :