Unbounded $p$-convergence in Lattice-Normed Vector Lattices

A. Aydın, E. Yu. Emelyanov, N. Erkurşun Özcan +1

A net $x_{\alpha }$ in a lattice-normed vector lattice $(X,p,E)$ is unbounded $p$-convergent to $x\in X$ if $p(|x_{\alpha }-x|\wedge u)\stackrel{o}{\to }0$ for every $u\in X_{+}$. This convergence has…