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- W3020223635 abstract "A refinement of a trace inequality of McCarthy establishing the uniform convexity of the Schatten p-classes for p>2 is proved: if A,B are two n-by-n matrices, then there exists some pair of n-by-n unitary matrices U,V such thatU|A+B2|pU⁎+V|A−B2|pV⁎≤|A|p+|B|p2. A similar statement holds for compact Hilbert space operators. Another improvement of McCarthy's inequality is given via the new operator parallelogramm law,|A+B|2⊕|A−B|2=U0(|A|2+|B|2)U0⁎+V0(|A|2+|B|2)V0⁎ for some pair of 2n-by-n isometry matrices U0,V0." @default.
- W3020223635 created "2020-05-01" @default.
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- W3020223635 date "2020-09-01" @default.
- W3020223635 modified "2023-10-14" @default.
- W3020223635 title "Clarkson-McCarthy inequalities with unitary and isometry orbits" @default.
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- W3020223635 doi "https://doi.org/10.1016/j.laa.2020.04.019" @default.
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