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## New answers tagged banach-algebras

### How to prove the density relation $\overline{\text{Span}\{\varphi_{x,y}:x ,y\in H\}}^{\Vert\cdot\Vert} = N_*$ for any von Newmann algebra $N$?
$\def\tr{\operatorname{Tr}}$ It is known that all normal functionals are of the form $T\longmapsto \tr(AT)$ for $A$ trace-class. "Trace-class" means that $\tr(|A|)<\infty$. The ...