A generalization of order continuous operators

Mehrdad Bakhshi, Kazem Haghnejad Azar

Let $E$ be a sublattice of a vector lattice $F$. A net $\{x_{\alpha }{\}}_{\alpha \in \mathcal{A}}\subseteq E$ is said to be $F$-order convergent to a vector $x\in E$ (in symbols $ x_α\xright…