1. The order $\sigma $-complete vector lattice of AM-compact operators Creator: Aqzzouz, Belmesnaqui and Nouira, Redouane Format: bez média and svazek Type: model:article and TEXT Subject: AM-compact operator, order continuous norm, and discrete vector lattice Language: English Description: 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. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public