Lieb functions and sectorial matrices

DOI10.1016/j.laa.2019.10.028zbMath1427.15025OpenAlexW2983243164WikidataQ126842905 ScholiaQ126842905MaRDI QIDQ2282790

Mohammad Alakhrass, Mohammad S. Sababheh

Publication date: 19 December 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2019.10.028

zbMATH Keywords

accretive-dissipative matricessectorial matricesLieb functions

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (8)

Generalizing the Ando-Hiai inequality for sectorial matrices ⋮ Inequalities on 2 × 2 block positive semidefinite matrices ⋮ On sectorial matrices and their inequalities ⋮ Some logarithmic submajorisations and determinant inequalities for operators with numerical ranges in a sector ⋮ Extensions of Hartfiel's inequality to multiple matrices ⋮ Numerical radius of products of special matrices ⋮ Generalized numerical radius inequalities involving positive semidefinite block matrices ⋮ Norm inequalities involving a special class of functions for sector matrices

Cites Work

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• Norm inequalities for accretive-dissipative operator matrices
• Determinantal and eigenvalue inequalities for matrices with numerical ranges in a sector
• Fischer determinantal inequalities and Higham's conjecture
• Some inequalities for sector matrices
• A property of the geometric mean of accretive operators
• A matrix decomposition and its applications
• Matrices with Positive Definite Hermitian Part: Inequalities and Linear Systems
• Energy Conserving Norms for the Solution of Hyperbolic Systems of Partial Differential Equations
• Generalizations of Ky Fan's Dominance Theorem
• Singular value inequalities for matrices with numerical ranges in a sector
• Analysis 2

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