A note on positive partial transpose blocks

Moh. Alakhrass; Moh. Alakhrass

doi:10.3934/math.20231208

AIMS Mathematics

2023, Volume 8, Issue 10: 23747-23755. doi: 10.3934/math.20231208

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A note on positive partial transpose blocks

Moh. Alakhrass ^,

Department of Mathematics, University of Sharjah, Sharjah, UAE

Received: 09 June 2023 Revised: 11 July 2023 Accepted: 17 July 2023 Published: 02 August 2023
MSC : 15A18, 15A42, 15A45, 15A60

In this article, we study the class of positive partial transpose blocks. We introduce several inequalities related to this class with an emphasis on comparing the main diagonal and off-diagonal components of a $ 2 \times 2 $ positive partial transpose block.
- block matrices,
- positive partial transpose matrices,
- Loewner order,
- uunitarily invariant norm
Citation: Moh. Alakhrass. A note on positive partial transpose blocks[J]. AIMS Mathematics, 2023, 8(10): 23747-23755. doi: 10.3934/math.20231208

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Abstract

In this article, we study the class of positive partial transpose blocks. We introduce several inequalities related to this class with an emphasis on comparing the main diagonal and off-diagonal components of a $ 2 \times 2 $ positive partial transpose block.

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