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Linear and Multilinear Algebra Volume 71, 2023 - Issue 18
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Research Article

Matrix power means and new characterizations of operator monotone functions

Trung Hoa Dinha Department of Mathematics and Statistics, Troy University, Troy, AL, USACorrespondence[email protected]
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,
Cong Trinh Leb Department of Mathematics and Statistics, Quy Nhon University, Quy Nhon, VietnamView further author information
,
The Van Nguyenc Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois, USA;d University of Science, Vietnam National University, Hanoi, VietnamView further author information
&
Bich Khue Voe Faculty of Economics and Law, University of Finance and Marketing, Ho Chi Minh City, VietnamView further author information
Pages 2986-2997 | Received 11 Jul 2021, Accepted 02 Oct 2022, Published online: 26 Oct 2022

References

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  • Dinh TH, Osaka H, Tomiyama J. Characterization of operator monotone functions by Powers-Stormer type inequalities. Linear Multilinear Algebra. 2015;63(8):1577–1589.
  • Audenaert KMR, Calsamiglia J, Masanes LI, et al. The quantum Chernoff bound. Phys Rev Lett. 2007;98(16):Article ID 16050.
  • Audenaert KMR, Hiai F. On matrix inequalities between the power means: counterexamples. Linear Algebra Appl. 2013;439(5):1590–1604.
  • Dinh TH, Dinh TD, Vo BK. A new type of operator convexity. Acta Math Vietnamica. 2018;4(43):595–605.
  • Lam N, Le PL. Quantum divergences with p-power means. Linear Algebra Appl. 2021;609:289–307.

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