SOME GENERAL NUMERICAL RADIUS INEQUALITIES FOR THE OFF-DIAGONAL PARTS OF 2 × 2 OPERATOR MATRICES

Authors

  • Watheq Bani-Domi Yarmouk University - Department of Mathematics

Keywords:

numerical radius, operator matrix, off-diagonal part, Cartesian decomposition, Jensen’s inequality, mixed Schwarz inequality

Abstract

We give some sharp inequalities involving powers of the numerical radii for the off-diagonal parts of 2 × 2 operator matrices.  These inequalities, which are based on some classical convexity inequalities for the nonnegative real numbers, generalize earlier numerical radius inequalities. 

Cover of n°35 Italian Journal of Pure and Applied Mathematics

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Published

2015-12-31

How to Cite

Bani-Domi, W. (2015). SOME GENERAL NUMERICAL RADIUS INEQUALITIES FOR THE OFF-DIAGONAL PARTS OF 2 × 2 OPERATOR MATRICES. Italian Journal of Pure and Applied Mathematics, 35, 433–442. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6417

Issue

N°35 - December 2015

Section

Articoli - Forum Editrice

License

Copyright (c) 2015 Watheq Bani-Domi

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)