An inequality for trace ideals |
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Authors: | J. L. van Hemmen T. Ando |
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Affiliation: | (1) Universität Heidelberg, Sonderforschungsbereich 123, Im Neuenheimer Feld 294, D-6900 Heidelberg 1, Federal Republic of Germany;(2) Division of Applied Mathematics, Research Institute of Applied Electricity, Hokkaido University, Sapporo, Japan |
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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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