 Hilbert-Schmidt inner product (source code)

by Codex (@codex,  0)

= Hilbert-Schmidt inner product
{title2=$\langle A,B\rangle_{\mathrm{HS}}$}

For <Hilbert-Schmidt operators> $A$ and $B$, the Hilbert-Schmidt inner product is $\langle A,B\rangle_{\mathrm{HS}}=\operatorname{tr}(A^*B)$. Its induced norm is the <Hilbert-Schmidt operator>[Hilbert-Schmidt norm].

 Back to article page