Geodesic
The order $\sigma $-complete vector lattice of AM-compact operators
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 3, pp. 827-834.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We establish necessary and sufficient conditions under which the linear span of positive AM-compact operators (in the sense of Fremlin) from a Banach lattice $E$ into a Banach lattice $F$ is an order $\sigma $-complete vector lattice.
Classification : 46A40, 46B40, 46B42, 47B07, 47B60
Keywords: AM-compact operator; order continuous norm; discrete vector lattice 
@article{CMJ_2009__59_3_a18,
     author = {Aqzzouz, Belmesnaoui and Nouira, Redouane},
     title = {The order $\sigma $-complete vector lattice of {AM-compact} operators},
     journal = {Czechoslovak Mathematical Journal},
     pages = {827--834},
     publisher = {mathdoc},
     volume = {59},
     number = {3},
     year = {2009},
     mrnumber = {2545658},
     zbl = {1222.47063},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2009__59_3_a18/}
}
TY  - JOUR
AU  - Aqzzouz, Belmesnaoui
AU  - Nouira, Redouane
TI  - The order $\sigma $-complete vector lattice of AM-compact operators
JO  - Czechoslovak Mathematical Journal
PY  - 2009
SP  - 827
EP  - 834
VL  - 59
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2009__59_3_a18/
LA  - en
ID  - CMJ_2009__59_3_a18
ER  - 
%0 Journal Article
%A Aqzzouz, Belmesnaoui
%A Nouira, Redouane
%T The order $\sigma $-complete vector lattice of AM-compact operators
%J Czechoslovak Mathematical Journal
%D 2009
%P 827-834
%V 59
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2009__59_3_a18/
%G en
%F CMJ_2009__59_3_a18
Aqzzouz, Belmesnaoui; Nouira, Redouane. The order $\sigma $-complete vector lattice of AM-compact operators. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 3, pp. 827-834. http://geodesic.mathdoc.fr/item/CMJ_2009__59_3_a18/