2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128400We introduce a new norm, called $N^{p}$-norm $(1\leq{p}<\infty)$ on a space $N^{p}(V,W)$ where $V$ and $W$ are abstract operator spaces. By proving some fundamental properties of the space $N^{p}(V,W)$, we also obtain that if $W$ is complete, then the space $N^{p}(V,W)$ is also a Banach space with respect to this norm for $1\leq{p}<\infty$.9 pagesOperator AlgebrasFunctional Analysis47L25; 47L05; 46B99text