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MR926848 (90a:47021) 47A30 (15A45 15A60)
Ando, T. Comparison of norms $\vert\vert\vert f(A)-f(B)\vert\vert\vert $ and $\vert\vert\vert f(\vert A-B\vert )\vert\vert\vert $. Math. Z. 197 (1988), no. 3, 403--409.
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