Article
Keywords:
order weakly compact operator; order continuous norm; discrete vector lattice
Summary:
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.
References:
[4] Dodds, P. G.:
o-weakly compact mappings of Riesz spaces. Trans. Amer. Math. Soc. 214 (1975), 389-402.
MR 0385629 |
Zbl 0313.46011