Geodesic
Construction of Weakly Dense, Norm Divergent Sequences
Journal of convex analysis, Tome 16 (2009) no. 3, pp. 667-672

Voir la notice de l'article provenant de la source Heldermann Verlag

Let X be a separable Banach space. We provide an explicit construction of a sequence in X that tends to infinity in norm but which is weakly dense.
Classification : 46B20, 46B25, 46B45
Mots-clés : Banach space, weakly dense sequence, norm divergent sequence, weak hypercyclicity 
@article{JCA_2009_16_3_JCA_2009_16_3_a3,
     author = {R. M. Aron and D. Garc{\'\i}a and M. Maestre},
     title = {Construction of {Weakly} {Dense,} {Norm} {Divergent} {Sequences}},
     journal = {Journal of convex analysis},
     pages = {667--672},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2009},
     url = {http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a3/}
}
TY  - JOUR
AU  - R. M. Aron
AU  - D. García
AU  - M. Maestre
TI  - Construction of Weakly Dense, Norm Divergent Sequences
JO  - Journal of convex analysis
PY  - 2009
SP  - 667
EP  - 672
VL  - 16
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a3/
ID  - JCA_2009_16_3_JCA_2009_16_3_a3
ER  - 
%0 Journal Article
%A R. M. Aron
%A D. García
%A M. Maestre
%T Construction of Weakly Dense, Norm Divergent Sequences
%J Journal of convex analysis
%D 2009
%P 667-672
%V 16
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a3/
%F JCA_2009_16_3_JCA_2009_16_3_a3
R. M. Aron; D. García; M. Maestre. Construction of Weakly Dense, Norm Divergent Sequences. Journal of convex analysis, Tome 16 (2009) no. 3, pp. 667-672. http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a3/