Research article

Inequalities on $ 2\times 2 $ block accretive partial transpose matrices

  • Received: 27 December 2023 Revised: 04 February 2024 Accepted: 20 February 2024 Published: 01 March 2024
  • MSC : 15A18, 15A42, 15A45, 15A60

  • In this note, we first corrected a result of Alakhrass [1], then presented some inequalities related to $ 2\times 2 $ block accretive partial transpose matrices which generalized some results on block positive partial transpose matrices.

    Citation: Lihong Hu, Junjian Yang. Inequalities on $ 2\times 2 $ block accretive partial transpose matrices[J]. AIMS Mathematics, 2024, 9(4): 8805-8813. doi: 10.3934/math.2024428

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  • In this note, we first corrected a result of Alakhrass [1], then presented some inequalities related to $ 2\times 2 $ block accretive partial transpose matrices which generalized some results on block positive partial transpose matrices.



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    [2] R. Bhatia, Matrix analysis, New York: Springer, 1997. https://doi.org/10.1007/978-1-4612-0653-8
    [3] R. Bhatia, Positive definite matrices, Princeton: Princeton University Press, 2007.
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    [7] S. Hayat, J. H. Koolen, F. Liu, Z. Qiao, A note on graphs with exactly two main eigenvalues, Linear Algebra Appl., 511 (2016), 318–327. https://doi.org/10.1016/j.laa.2016.09.019 doi: 10.1016/j.laa.2016.09.019
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    [13] H. Xu, X. Fu, S. A. Haseeb, Trace inequalities related to $2 \times 2$ block sector matrices, Oper. Matrices, 17 (2023), 367–374. http://doi.org/10.7153/oam-2023-17-26 doi: 10.7153/oam-2023-17-26
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