On norm inequalities related to the geometric mean
From MaRDI portal
Publication:6040651
DOI10.1016/j.laa.2023.04.012zbMath1521.15019arXiv2210.14023OpenAlexW4366169366MaRDI QIDQ6040651
Shaima'a Freewan, Mostafa Hayajneh
Publication date: 19 May 2023
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.14023
inequalitygeometric meanunitarily invariant normpositive semidefinite matrixtrace normBourin's question
Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57)
Cites Work
- Unnamed Item
- A matrix subadditivity inequality for \(f(A + B)\) and \(f(A) + f(B)\)
- Remarks on two recent results of Audenaert
- Concavity of certain maps on positive definite matrices and applications to Hadamard products
- Functional calculus for sesquilinear forms and the purification map
- Log majorization and complementary Golden-Thompson type inequalities
- An inequality for t-geometric means
- Geometry and inequalities of geometric mean
- TRACE INEQUALITIES AND A QUESTION OF BOURIN
- Remarks on some norm inequalities for positive semidefinite matrices and questions of Bourin
- A norm inequality for pairs of commuting positive semidefinite matrices
- MATRIX SUBADDITIVITY INEQUALITIES AND BLOCK-MATRICES
- The Riemannian Mean of Positive Matrices
- Matrix theory. Basic results and techniques