$um$-Topology in multi-normed vector lattices

Y. A. Dabboorasad, E. Y. Emelyanov, M. A. A. Marabeh

Let $\mathcal{M}=\{m_{\lambda }{\}}_{\lambda \in \Lambda }$ be a separating family of lattice seminorms on a vector lattice $X$, then $(X,\mathcal{M})$ is called a multi-normed vector lattice (or MNVL). We…