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Some inequalities for norm ideals

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Abstract

Several inequalities for norms of operators are extended to more operators and/or to more norms. These include results of Halmos and Bouldin on approximating a normal operator by another with restricted spectrum, the Powers-Størmer and the van Hemmen-Ando inequalities for the distance between the square roots of two positive operators and also some recent generalisations of these latter results by Kittaneh.

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Authors and Affiliations

  1. Indian Statistical Institute, 110016, New Delhi, India

    Rajendra Bhatia

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  1. Rajendra Bhatia
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Communicated by H. Araki

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Bhatia, R. Some inequalities for norm ideals. Commun.Math. Phys. 111, 33–39 (1987). https://doi.org/10.1007/BF01239013

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