Geodesic
The order $\sigma $-complete vector lattice of AM-compact operators
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 3, pp. 827-834 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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 
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     author = {Aqzzouz, Belmesnaoui and Nouira, Redouane},
     title = {The order $\sigma $-complete vector lattice of {AM-compact} operators},
     journal = {Czechoslovak Mathematical Journal},
     pages = {827--834},
     year = {2009},
     volume = {59},
     number = {3},
     mrnumber = {2545658},
     zbl = {1222.47063},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2009_59_3_a18/}
}
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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/