Further Properties of PPT and Hyponormal Matrices
Hamid Reza Moradi, Ibrahim Halil G\"um\"u\c{s}, and Mohammad Sababheh
TL;DR
This paper explores additional properties of positive partial transpose matrices and their applications to various classes of matrices, extending existing mathematical results in the literature.
Contribution
It introduces new properties and extends previous results related to PPT, hyponormal, semi-hyponormal, and $(eta,eta)$-normal matrices.
Findings
Extended properties of PPT matrices.
New results on hyponormal and semi-hyponormal matrices.
Improved understanding of $(eta,eta)$-normal matrices.
Abstract
This paper discusses further properties of positive partial transpose matrices, with applications towards hyponormal, semi-hyponormal, and -normal matrices. The obtained results present extensions and improvements of many results in the literature.
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Taxonomy
TopicsMatrix Theory and Algorithms · Holomorphic and Operator Theory · Advanced Topics in Algebra