Geodesic
On spaces in which the norm convergence coincides with the order convergence
Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 259-268 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We investigate partially ordered normed vector spaces in which the norm convergence coincides with the order convergence. We consider spaces where the convergences coincide for arbitrary nets and spaces where the convergences coincide only for sequences. We give conditions which characterize such spaces and investigate their properties. In particular, we study the problem of their Dedekind completeness and $\sigma$-completeness. 
@article{MZM_1973_13_2_a10,
     author = {B. Z. Vulikh and O. S. Korsakova},
     title = {On spaces in which the norm convergence coincides with the order convergence},
     journal = {Matemati\v{c}eskie zametki},
     pages = {259--268},
     year = {1973},
     volume = {13},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a10/}
}
TY  - JOUR
AU  - B. Z. Vulikh
AU  - O. S. Korsakova
TI  - On spaces in which the norm convergence coincides with the order convergence
JO  - Matematičeskie zametki
PY  - 1973
SP  - 259
EP  - 268
VL  - 13
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a10/
LA  - ru
ID  - MZM_1973_13_2_a10
ER  - 
%0 Journal Article
%A B. Z. Vulikh
%A O. S. Korsakova
%T On spaces in which the norm convergence coincides with the order convergence
%J Matematičeskie zametki
%D 1973
%P 259-268
%V 13
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a10/
%G ru
%F MZM_1973_13_2_a10
B. Z. Vulikh; O. S. Korsakova. On spaces in which the norm convergence coincides with the order convergence. Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 259-268. http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a10/