4.6 Article

A note on positive partial transpose blocks

Journal

AIMS MATHEMATICS
Volume 8, Issue 10, Pages 23747-23755

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.20231208

Keywords

block matrices; positive partial transpose matrices; Loewner order; uunitarily invariant norm

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In this article, the concept of positive partial transpose blocks is studied, and several inequalities related to this concept are introduced, with a focus on comparing the main diagonal and off-diagonal components of a 2 x 2 positive partial transpose block.
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 x 2 positive partial transpose block.

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