Talk:Schatten norm
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The definition is given for operators between Hilbert spaces. Therefore speaking of "eigenvalues of the Hermitian matrix" does not make sense. I suggest to speak only about compact operators such that "Hermitian matrix" can be replaced by "non-negative compact self-adjoint operator" here.
One option would be to restrict the discussion to finite-dimensional Hilbert spaces first, and then extend it to infinite-dimensional Hilbert spaces and introduce the Schatten class operators. Felix.leditzky (talk) 08:40, 8 March 2015 (UTC)
Backref to Matrix Norms
[edit]Shouldn't this page point (back) to https://en.wikipedia.org/wiki/Matrix_norm#Schatten_norms ?
Confusion about citation for |ST|_r \le |S|_p |R|_q.
[edit]The article claims that this is proved in "Sharp uniform convexity and smoothness inequalities for trace norms", but I looked at the paper and couldn't find the claim. Greg Rosenthal (talk) 21:26, 16 March 2024 (UTC)