Extensions of the Hilbert-multi-norm in Hilbert $C^{\ast }$-modules

Sajjad Abedi, Mohammad Sal Moslehian

Dales and Polyakov introduced a multi-norm $\left({\Vert \cdot \Vert }_n^{(2,2)}:n\in \mathbb{N}\right)$ based on a Banach space $\mathcal{X}$ and showed that it is equal with the…