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Minghua Lin

  1. Remarks on trace inequalities for products of matrices.

    Fri, 01/22/2010 - 16:01 — SomNambul
    Authors: Shigeru Furuichi, Minghua Lin
    Subjects: Functional Analysis
    Abstract

    In this short paper, we review some trace inequalities for products of
    matrices. We also give a counter-example for matrix trace inequalities
    conjectured by Furuichi-Kuriyama-Yanagi.

  2. On refined Young inequalities.

    Tue, 01/05/2010 - 16:01 — SomNambul
    Authors: Shigeru Furuichi, Minghua Lin
    Subjects: Functional Analysis
    Abstract

    In this paper, we study refinements of some inequalities related to Young
    inequality for scalar and for operator. As our main results, we show refined
    Young inequalities for two positive operators. This results refine the ordering
    relations among the arithmetic mean, the geometric mean and the harmonic mean.
    Finally, we give supplements for refined Young inequalities for two positive
    real numbers. And then we also give operator inequalities based on the
    supplemental inequalities.

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