On some open questions concerning determinantal inequalities

DOI10.1016/J.LAA.2020.03.009zbMath1442.15033OpenAlexW3012424503MaRDI QIDQ2309684

Mohammad M. Ghabries, Bassam Mourad, Hassane Abbas

Publication date: 1 April 2020

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2020.03.009

zbMATH Keywords

eigenvaluesHermitian matrixFuruta inequalitylog-majorizationdeterminantal inequalitiespositive semi-definite matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (4)

On some Fuglede-Kadison determinant inequalities of operator means ⋮ Generalized Ghabries-Abbas-Mourad log-majorization ⋮ New log-majorization results concerning eigenvalues and singular values and a complement of a norm inequality ⋮ A proof of a conjectured determinantal inequality

Cites Work

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• New determinantal inequalities concerning Hermitian and positive semi-definite matrices
• Some generalizations and complements of determinantal inequalities
• On a determinantal inequality arising from diffusion tensor imaging
• $A \geq B \geq 0$ Assures $(B^r A^p B^r)^{1/q} \geq B^{(p+2r)/q$ for $r \geq 0$, $p \geq 0$, $q \geq 1$ with $(1 + 2r)q \geq p + 2r$
• Matrix theory. Basic results and techniques

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