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Research Article | Open Access

Inequalities on 2 × 2 block accretive partial transpose matrices

Lihong Hu1, Junjian Yang1,2( )
School of Mathematics and Statistics, Hainan Normal University, Haikou, China
Key Laboratory of Data Science and Intelligence Education (Hainan Normal University), Ministry of Education
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Abstract

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

Keywords

accretive partial transpose matricespositive partial transpose matricesweighted geometric meanunitarily invariant norms
CLC number: 15A18, 15A42, 15A45, 15A60

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AIMS Mathematics
Volume 9 Issue 4,
April 2024
Pages 8805-8813
DOI: 10.3934/math.2024428

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Cite this article:
Hu L, Yang J. Inequalities on 2 × 2 block accretive partial transpose matrices. AIMS Mathematics, 2024, 9(4): 8805-8813. https://doi.org/10.3934/math.2024428

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Received: 27 December 2023
Revised: 04 February 2024
Accepted: 20 February 2024
Published: 15 April 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)