An inequality for trace ideals

Springer Science and Business Media LLC - Tập 76 - Trang 143-148 - 1980
J. L. van Hemmen1, T. Ando2
1Universität Heidelberg, Heidelberg 1, Federal Republic of Germany
2Division of Applied Mathematics, Research Institute of Applied Electricity, Hokkaido University, Sapporo, Japan

Tóm tắt

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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