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Start Over Subject discrete vector lattice

1. Some results on order weakly compact operators

Creator:
Aqzzouz, Belmesnaoui and Hmichane, Jawad
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
order weakly compact operator, order continuous norm, and discrete vector lattice
Language:
English
Description:
We establish some properties of the class of order weakly compact operators on Banach lattices. As consequences, we obtain some characterizations of Banach lattices with order continuous norms or whose topological duals have order continuous norms.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. 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