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

Lihong Hu; Junjian Yang; Lihong Hu; Junjian Yang

doi:10.3934/math.2024428

AIMS Mathematics

2024, Volume 9, Issue 4: 8805-8813. doi: 10.3934/math.2024428

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Research article

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

Lihong Hu ¹,
Junjian Yang ^{1,2
,
,}

1.
School of Mathematics and Statistics, Hainan Normal University, Haikou, China
2.
Key Laboratory of Data Science and Intelligence Education (Hainan Normal University), Ministry of Education

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.
- accretive partial transpose matrices,
- positive partial transpose matrices,
- weighted geometric mean,
- unitarily invariant norms
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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Abstract

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.

References

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