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Communications in Mathematical Physics

, Volume 76, Issue 2, pp 143–148 | Cite as

An inequality for trace ideals

  • J. L. van Hemmen
  • T. Ando
Article

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.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • J. L. van Hemmen
    • 1
  • T. Ando
    • 2
  1. 1.Universität HeidelbergHeidelberg 1Federal Republic of Germany
  2. 2.Division of Applied Mathematics, Research Institute of Applied ElectricityHokkaido UniversitySapporoJapan

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