Schatten norms on Hilbert $C^{\ast }$-modules via pure states

Sajjad Abedi, Mohammad Sal Moslehian

Let $(\mathcal{E},⟨\cdot ,\cdot ⟩)$ be a Hilbert $C^{\ast }$-module over a $C^{\ast }$-algebra $\mathfrak{A}$. The space of adjointable operators on $\mathcal{E}$ is denoted by $\…