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20162026
most citedA convex treatment of numerical radius inequalities

25 citations · 88 across the 30 of their papers we have counts for

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Showing 2022Show all

9 papers · 1 filter

math.FA2022

Further Properties of PPT and Hyponormal Matrices

Hamid Reza Moradi, Ibrahim Halil Gümüş, Mohammad Sababheh

This paper discusses further properties of positive partial transpose matrices, with applications towards hyponormal, semi-hyponormal, and -normal matrices. The obtained res…

math.FA2022

New Orders Among Hilbert Space Operators

Mohammad Sababheh, Hamid Reza Moradi

This article introduces several new relations among related Hilbert space operators. In particular, we prove some Löewner partial orderings among $T, |T|, \mathcal{R}T, \mathcal{I}…

math.FA2022

Generalized Euclidean Operator Radius

Mohammad W. Alomari, Mohammad Sababheh, Cristian Conde +1

In this paper, we introduce the operator radius of Hilbert space operators as a generalization of the Euclidean operator radius and the operator radius. Properties of the n…

math.FA2022

Further Properties of Accretive Matrices

Hamid Reza Moradi, Shigeru Furuichi, Mohammad Sababheh

To better understand the algebra of all complex matrices, we explore the class of accretive matrices. This class has received renowned attention in rece…

math.FA2022★ 1 cited

Norm and numerical radius inequalities for operator matrices

Fuad Kittaneh, Hamid Reza Moradi, Mohammad Sababheh

Operator matrices have played a significant role in studying Hilbert space operators. In this paper, we discuss further properties of operator matrices and present new estimates fo…

math.FA2022

Further numerical radius inequalities

Mohammad Sababheh, Cristian Conde, Hamid Reza Moradi

In this article, we present some new inequalities for the numerical radius of products of Hilbert space operators and the generalized Aluthge transform. In particular, we show some…

math.FA2022

On the matrix Cauchy-Schwarz inequality

Mohammad Sababheh, Cristian Conde, Hamid Reza Moradi

The main goal of this work is to present new matrix inequalities of the Cauchy-Schwarz type. In particular, we investigate the so-called Lieb functions, whose definition came as an…

math.FA2022

Operator inequalities via the triangle inequality

Shigeru Furuichi, Mohammad Sababheh, Hamid Reza Moradi

This article improves the triangle inequality for complex numbers, using the Hermite-Hadamard inequality for convex functions. Then, applications of the obtained refinement are pre…

math.FA2022★ 2 cited

Some weighted numerical radius inequalities

Cristian Conde, Mohammad Sababheh, Hamid Reza Moradi

The weighted numerical radius of a Hilbert space operator has been defined recently. This article explores other properties and uses this newly defined numerical radius to obtain s…