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An inequality for trace ideals

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Abstract

We prove an inequality for trace ideals which relates the difference of two positive operators to the difference of their square roots. Inequalities involving operator-monotone functions more general than the square root, are considered as well.

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Authors and Affiliations

  1. Universität Heidelberg, Sonderforschungsbereich 123, Im Neuenheimer Feld 294, D-6900, Heidelberg 1, Federal Republic of Germany

    J. L. van Hemmen

  2. Division of Applied Mathematics, Research Institute of Applied Electricity, Hokkaido University, Sapporo, Japan

    T. Ando

Authors
  1. J. L. van Hemmen
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  2. T. Ando
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Communicated by H. Araki

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van Hemmen, J.L., Ando, T. An inequality for trace ideals. Commun.Math. Phys. 76, 143–148 (1980). https://doi.org/10.1007/BF01212822

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  • DOI: https://doi.org/10.1007/BF01212822

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