☆ 4.6 Article

Some operator mean inequalities for sector matrices

AIMS MATHEMATICS (2022)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Mathematics

Numerical radii of accretive matrices

Yassine Bedrani et al.

Summary: The study discussed the significance of the numerical radius of a matrix in matrix analysis and related inequalities. By investigating the numerical radius of accretive matrices, new inequalities were proposed. These results not only can be seen as refinements of existing inequalities, but also provide new insights into the study of positive matrices.

LINEAR & MULTILINEAR ALGEBRA (2021)

添加到收藏夹

Article Mathematics, Applied

Some operator inequalities involving operator monotone functions

Hosna Jafarmanesh et al.

Summary: The paper aims to present operator mean inequalities using operator monotone and operator monotone decreasing functions. Specifically, the Klamkin-McLenaghan inequality is generalized for every operator mean under certain conditions.

BULLETIN DES SCIENCES MATHEMATIQUES (2021)

添加到收藏夹

Article Mathematics, Applied

Some logarithmic submajorisations and determinant inequalities for operators with numerical ranges in a sector

Yun Wang et al.

Summary: In this paper, we generalize the submajorisation and determinant inequalities of sector matrices to operators in a finite von Neumann algebra utilizing the method of submajorisation and operator properties.

ANNALS OF FUNCTIONAL ANALYSIS (2021)

添加到收藏夹

Article Mathematics

From positive to accretive matrices

Yassine Bedrani et al.

Summary: This paper discusses recent advancements in matrix means from positive matrices to accretive matrices, presenting the general form governing the definition of geometric mean and defining arbitrary matrix means and functional calculus for accretive matrices. Applications of this discussion involve generalizations of known inequalities from positive matrices to accretive matrices.

POSITIVITY (2021)

添加到收藏夹

Article Mathematics, Applied

ON A REVERSE OF THE TAN-XIE INEQUALITY FOR SECTOR MATRICES AND ITS APPLICATIONS

Leila Nasiri et al.

Summary: This paper establishes the reverse of derived inequalities for sector matrices by Tan and Xie with Kantorovich constant, and presents some inequalities for determinant and unitarily invariant norm as an application of the main theorem.

JOURNAL OF MATHEMATICAL INEQUALITIES (2021)

添加到收藏夹

Article Mathematics

INEQUALITIES RELATED TO THE GEOMETRIC MEAN OF ACCRETIVE MATRICES

Juntong Liu et al.

Summary: In this study, new inequalities related to the geometric mean of accretive matrices are presented, showing a relationship between the singular values of certain block matrices and the geometric mean of matrices A and B. This extends a previous result by M. Lin.

OPERATORS AND MATRICES (2021)

添加到收藏夹

Article Mathematics

An Extension of the AM-GM-HM Inequality

Fuping Tan et al.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY (2020)

添加到收藏夹

Article Mathematics, Applied

Inequalities for the Heinz mean of sector matrices involving positive linear maps

Chaojun Yang et al.

ANNALS OF FUNCTIONAL ANALYSIS (2020)

添加到收藏夹

Article Mathematics

A property of the geometric mean of accretive operators

Minghua Lin et al.

LINEAR & MULTILINEAR ALGEBRA (2017)

添加到收藏夹

Article Mathematics

Relative entropy and Tsallis entropy of two accretive operators

Mustapha Raissouli et al.

COMPTES RENDUS MATHEMATIQUE (2017)

添加到收藏夹

Article Mathematics

SOME INEQUALITIES FOR SECTOR MATRICES

Minghua Lin

OPERATORS AND MATRICES (2016)

添加到收藏夹

Article Mathematics

Extension of a result of Haynsworth and Hartfiel

Minghua Lin

ARCHIV DER MATHEMATIK (2015)

添加到收藏夹

Article Mathematics

Principal powers of matrices with positive definite real part

Stephen Drury

LINEAR & MULTILINEAR ALGEBRA (2015)

添加到收藏夹

Article Mathematics

A matrix decomposition and its applications

Fuzhen Zhang

LINEAR & MULTILINEAR ALGEBRA (2015)

添加到收藏夹

Article Mathematics

SINGULAR VALUE INEQUALITIES FOR MATRICES WITH NUMERICAL RANGES IN A SECTOR

Stephen Drury et al.

OPERATORS AND MATRICES (2014)

添加到收藏夹

Article Mathematics

Operator log-convex functions and operator means

Tsuyoshi Ando et al.

MATHEMATISCHE ANNALEN (2011)

添加到收藏夹

Article Mathematics, Applied

Notes on matrix arithmetic-geometric mean inequalities

R Bhatia et al.

LINEAR ALGEBRA AND ITS APPLICATIONS (2000)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.