On the weighted geometric mean of accretive matrices

DOI10.1007/s43034-020-00094-6zbMath1462.15022arXiv2007.08650OpenAlexW3092535371MaRDI QIDQ2218246

Fuad Kittaneh, Mohammed Sababheh, Yassine Bedrani

Publication date: 15 January 2021

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08650

zbMATH Keywords

geometric meanpositive linear mappositive matrixaccretive matrixsectorial matrix

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (7)

More inequalities on numerical radii of sectorial matrices ⋮ On the weighted chaotic identric mean of two accretive matrices ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Accretive matrices and matrix convex functions ⋮ Low phase-rank approximation ⋮ Numerical radii of accretive matrices

Cites Work

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• Tsallis relative operator entropy with negative parameters
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Means of positive linear operators
• Notes on matrix arithmetic-geometric mean inequalities
• An extension of the AM-GM-HM inequality
• Relative entropy and Tsallis entropy of two accretive operators
• Extension of a result of Haynsworth and Hartfiel
• Principal powers of matrices with positive definite real part
• A matrix decomposition and its applications
• Matrices with Positive Definite Hermitian Part: Inequalities and Linear Systems
• Generalized Means and Convexity of Inversion for Positive Operators
• Singular value inequalities for matrices with numerical ranges in a sector

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