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Some singular value and unitarily invariant norm inequalities for Hilbert space operators

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Abstract

In this paper, we prove some singular value inequalities for sum and product of operators. Also, we obtain several generalizations of recent inequalities. Moreover, as applications we establish some unitarily invariant norm and trace inequalities for operators which provide refinements of previous results.

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Acknowledgements

This work was written whilst the second author was visiting Victoria University. He is grateful for the support and hospitality.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P. O. Box 47416-146, Babolsar, Iran

    A. Taghavi, V. Darvish & H. M. Nazari

  2. Mathematics, School of Engineering and Science, Victoria University, P. O. Box 14428, Melbourne City MC, 8001, Australia

    S. S. Dragomir

Authors
  1. A. Taghavi
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  2. V. Darvish
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  3. H. M. Nazari
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  4. S. S. Dragomir
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Correspondence to V. Darvish.

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Taghavi, A., Darvish, V., Nazari, H.M. et al. Some singular value and unitarily invariant norm inequalities for Hilbert space operators. Ann Univ Ferrara 63, 377–389 (2017). https://doi.org/10.1007/s11565-017-0271-5

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  • DOI: https://doi.org/10.1007/s11565-017-0271-5

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