Unbounded Norm Topology in Banach Lattices

M. Kandić, M. A. A. Marabeh, V. G. Troitsky

A net $(x_{\alpha })$ in a Banach lattice $X$ is said to un-converge to a vector $x$ if $\Vert |x_{\alpha }-x|\wedge u\Vert \to 0$ for every $u\in X_{+}$. In this paper, we inve…