Compact and "compact" operators on the standard Hilbert module over a $W^{\ast }$ algebra

Dragoljub J Kečkić, Zlatko Lazović

We construct a topology on the standard Hilbert module $l^2(\mathcal{A})$ over a unital $W^{\ast }$-algebra $\mathcal{A}$ such that any "compact" operator, (i.e.\ any operator in the norm…