Frames and operators in Schatten classes

Hu Bingyang, Le Hai Khoi, Kehe Zhu

Let $T$ be a compact operator on a separable Hilbert space $H$. We show that, for $2\le p<\infty$, $T$ belongs to the Schatten class $S_p$ if and only if $\{\Vert T{f}_n\Vert \}\in {\ell }^p$ f…