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Results tagged with real-analysis
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user 21228
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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Ratio sum comparison on operators
It is known by the Lidskii inequality, that $\sum_{i=1}^n \left|s_i(S)-s_i(T)\right|\le\sum_{i=1}^n s_i(S+T)$,
where $s_i(S)$ is the $i$-th singular value of $S$.
How would one prove that
$$\sum_{i=1} …
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