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MR1942034 47A63
Ito, Masatoshi; Yamazaki, Takeaki Relations between two inequalities $(B^{\frac r2}A^pB^{\frac r2})^{\frac r{p+r}}\geq B^r$ and $A^p\geq(A^{\frac p2}B^rA^{\frac p2})^{\frac p{p+r}}$ and their applications. Integral Equations Operator Theory 44 (2002), no. 4, 442–450.
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