Research Article

Interpolating inequalities for unitarily invariant norms and numerical radii of matrices

Published in: Quaestiones Mathematicae
Volume 48 , issue 7 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 1029–1045
DOI: 10.2989/16073606.2025.2464947
Author(s): Ahmad Al-Natoor Isra University, Jordan, Omar Hirzallah The Hashemite University, Jordan, Fuad Kittaneh The University of Jordan, Jordan,
Keywords: Primary: 15A60, Secondary: 15A18, 15A42, 47A12, 47A30, 47B15, Interpolating inequality, positive semidefinite matrix, singular value, unitarily invariant norm, numerical radius,
Download full text Get new issue alerts

Abstract

In this paper, which is a continuation of our works in [9] and [10], we prove several interpolating inequalities for norms and numerical radii of matrices. Special cases of our results present refinements of some known inequalities. Among other results, we prove that if A, B, X are n × n complex matrices such that X is positive semidefinite and t ∈ [0, 1], then
« Adaptive grid based moving mesh algorithms for singularly perturbed second-order Volterra integro differential equations
f-rough Cauchy sequences »

Get new issue alerts for Quaestiones Mathematicae

CAPTCHA Reload CAPTCHA