On a reverse of the Tan-Xie inequality for sector matrices and its applications

On a reverse of the Tan-Xie inequality for sector matrices and its applications

In this short paper, we establish a reverse of the derived inequalities for sector matrices by Tan and Xie, with Kantorovich constant. Then, as application of our main theorem, some inequalities for determinant and unitarily invariant norm are presented.

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Bibliographic Details
Main Authors: Nasiri, Leila, Furuichi, Shigeru
Format: Journal Article
Language:English
Published: 02-01-2020
Subjects:
Mathematics - Functional Analysis
Online Access:Get full text
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Summary:In this short paper, we establish a reverse of the derived inequalities for sector matrices by Tan and Xie, with Kantorovich constant. Then, as application of our main theorem, some inequalities for determinant and unitarily invariant norm are presented.
DOI:10.48550/arxiv.2001.00683