25 citations · 88 across the 30 of their papers we have counts for
37 papers
Crossed-Heinz Inequalities: The Two-Dimensional Threshold and Higher-Dimensional Stability
Mohammad Sababheh, Jean-Christophe Bourin
For positive matrices and , Bourin asked whether the crossed-Heinz expression \[ C_t(A,B)=A^tB^{1-t}+B^tA^{1-t} \] satisfies \[ \UIN{C_t(A,B)}\le \UIN{A+B} \] for ever…
An Extremal Formula for Elliptical Width and the Bourin--Lee Conjecture
Mohammad Sababheh
Let \(X\in M_n(\mathbb C)\), \(n\geq2\), and let \[ δ_2(X) = \sup_{\dim S=2}δ(X_S), \] where \(X_S\) denotes the compression of \(X\) to \(S\), and \(δ(X_S)\) is the diameter of th…
Inner product bounds via the Moore-Penrose inverse with applications
A. Sheikhhosseini, Gh. Aghamollaei, M. Sababheh
In this paper, by implementing the generalized inverse, known as the Moore-Penrose inverse, for Hilbert space operators, several inner product bounds that are of Cauchy-Schwarz typ…
A new collection of tuple operator inequalities
Zameddin I. Ismailov, Pembe Ipek Al, Hamid Reza Moradi +1
In this paper, we present several new bounds for the norm and numerical radius of sums of Hilbert space operators. The obtained bounds form a new collection that enriches our under…
Integral Numerical Radius and Operator Matrix Bounds
Shiva Sheybani, Hamid Reza Moradi, Mohammad Sababheh
We establish new integral inequalities for the numerical radius and the operator norm of bounded linear operators on Hilbert spaces. Our results refine classical triangle-type and…
More inner product bounds with applications
Mohammad Sababheh, Hamid Reza Moradi
The main goal of this paper is to present new bounds for certain inner products in Hilbert spaces, with applications to the numerical radius and the operator norm. The obtained res…
Some inequalities for adjointable operators on Hilbert -modules
Mohammad Sababheh, Hamid Reza Moradi, Qingxiang Xu +1
The main purpose of this paper is, in the general setting of the adjointable operators on Hilbert -modules, to develop two new tools that can be applied to deal with the posit…
Numerical Radius Bounds via the Euclidean Operator Radius and Norm
Mohammad Sababheh, Hamid Reza Moradi
In this paper, we begin by showing a new generalization of the celebrated Cauchy-Schwarz inequality for the inner product. Then, this generalization is used to present some bounds…
On the Euclidean operator radius and norm
Mohammad Sababheh, Hamid Reza Moradi, Mohammad Alomari
In this paper, we show several bounds for the numerical radius of a Hilbert space operator in terms of the Euclidean operator norm. The obtained forms will enable us to find intere…
A convex-block approach for numerical radius inequalities
Mohammad Sababheh, Cristian Conde, Hamid Reza Moradi
This article implements a simple convex approach and block techniques to obtain several new refined versions of numerical radius inequalities for Hilbert space operators. This incl…
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…
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}…
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…
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…
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…
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…
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…
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…
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…
Matrix Fejér and Levin-Stečkin Inequalities
Mohammad Sababheh, Shiva Sheybani, Hamid Reza Moradi
Fe{j}ér and Levin-Stečkin inequalities treat integrals of the product of convex functions with symmetric functions. The main goal of this article is to present possible matrix vers…
New Estimates for the Numerical Radius
Hamid Reza Moradi, Mohammad Sababheh
In this article, we present new inequalities for the numerical radius of the sum of two Hilbert space operators. These new inequalities will enable us to obtain many generalization…
Buzano, Kreĭn and Cauchy-Schwarz inequalities
Mohammad Sababheh, Hamid Reza Moradi, Zahra Heydarbeygi
The Cauchy-Schwarz, Buzano and Kre\uın inequalities are three inequalities about inner product. The main goal of this article is to present refinements of Buzano and Cauchy-Schwarz…
A convex treatment of numerical radius inequalities
Zahra Heydarbeygi, Mohammad Sababheh, Hamid Reza Moradi
In this article, we prove an inner product inequality for Hilbert space operators. This inequality, then, is utilized to present a general numerical radius inequality using convex…
Singular Values Inequalities for Matrix Means
Mohammed Sababheh, Shigeru Furuichi, Shiva Sheybani +1
In this article, we show multiple inequalities for the singular values of the difference of matrix means. The obtained results refine and complement some well established results i…