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Inequalities for the Heinz mean of sector matrices involving positive linear maps

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Abstract

In this paper, we present some Heinz mean inequalities for sector matrices involving positive linear maps which generalize the results of Mao et al. Moreover, we give some inequalities involving the mean of inverse sector matrices and the inverse of the mean of sector matrices involving positive linear maps.

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Acknowledgements

The authors would like to express their thanks to the editor and the reviewers for careful reading and valuable suggestions. This research is supported by the National Natural Science Foundation of P. R. China(No. 11571247)

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Authors and Affiliations

  1. Department of Mathematics, Soochow University, Suzhou, 215006, People’s Republic of China

    Chaojun Yang & Fangyan Lu

Authors
  1. Chaojun Yang
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  2. Fangyan Lu
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Corresponding author

Correspondence to Chaojun Yang.

Additional information

Communicated by Ilya Spitkovsky.

This research is supported by the National Natural Science Foundation of P. R. China(No. 11571247).

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Yang, C., Lu, F. Inequalities for the Heinz mean of sector matrices involving positive linear maps. Ann. Funct. Anal. 11, 866–878 (2020). https://doi.org/10.1007/s43034-020-00070-0

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  • DOI: https://doi.org/10.1007/s43034-020-00070-0

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