New log-majorization results concerning eigenvalues and singular values and a complement of a norm inequality

MM Ghabries, H Abbas, B Mourad… - Linear and Multilinear …, 2023 - Taylor & Francis
The purpose of this paper is to establish new log-majorization results concerning
eigenvalues and singular values which generalize some previous work related to a …

A proof of a conjectured determinantal inequality

MM Ghabries, H Abbas, B Mourad, A Assi - Linear Algebra and its …, 2020 - Elsevier
The main goal of this paper is to prove the following determinantal inequality: det⁡(A k+| B s
2 A s 2| 2 ts)≤ det⁡(A k+ A t B t)≤ det⁡(A k+| A s 2 B s 2| 2 ts) for any positive semi-definite …

[PDF][PDF] ON SOME FUGLEDE–KADISON DETERMINANT INEQUALITIES OF OPERATOR MEANS

M Xu, C Yan - Operators & Matrices, 2022 - files.ele-math.com
Let M be a finite von Neumann algebra with finite trace τ. We extend some important matrix
determinant inequalities, studied by Lin, Ghabries, Abbas, Mourad and Assi, to the Fuglede …

[PDF][PDF] GENERALIZED GHABRIES–ABBAS–MOURAD LOG–MAJORIZATION

Z Feng, J Shi - OPERATORS AND MATRICES, 2022 - files.ele-math.com
Generalized Ghabries-Abbas-Mourad log-majorization Page 1 Operators and Matrices
Volume 16, Number 1 (2022), 189–195 doi:10.7153/oam-2022-16-16 GENERALIZED …