 Hilbert-Schmidt norm (source code)

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= Hilbert-Schmidt norm
{c}
{title2=$\|T\|_{\mathrm{HS}}=(\sum_n\|Te_n\|^2)^{1/2}$}

The Hilbert-Schmidt norm of a <Hilbert-Schmidt operator> is the square root of the displayed sum. The value is independent of the <orthonormal basis>, by the <Parseval identity>. For a finite <matrix>, it is the <Frobenius norm>.

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