Sajjad Abedi

Schatten norms on Hilbert $C^*$-modules via pure states

Let $(\mathscr {E}, \langle \cdot , \cdot \rangle )$ be a Hilbert $C^*$-module over a $C^*$-algebra $\mathfrak {A}$. The space of adjointable operators on $\mathscr {E}$ is denoted by $\mathcal {L}(\mathscr {E})$. The sets of all states and pure states on $\mathfrak {A}$ are denoted by $\mathcal {S}(\mathfrak {A})$ and...