Results 1 to 10 of about 3,850,054 (185)

Euclidean operator radius and numerical radius inequalities [PDF]

open access: yesOperators and Matrices, 2023
Let $T$ be a bounded linear operator on a complex Hilbert space $\mathscr{H}.$ We obtain various lower and upper bounds for the numerical radius of $T$ by developing the Euclidean operator radius bounds of a pair of operators, which are stronger than the
Suvendu Jana, Pintu Bhunia, K. Paul
semanticscholar   +3 more sources

Further Accurate Numerical Radius Inequalities

open access: yesAxioms, 2023
The goal of this study is to refine some numerical radius inequalities in a novel way. The new improvements and refinements purify some famous inequalities pertaining to Hilbert space operators numerical radii.
Tariq Qawasmeh   +4 more
doaj   +2 more sources

On Further Refinements of Numerical Radius Inequalities

open access: yesAxioms, 2023
This paper introduces several generalized extensions of some recent numerical radius inequalities of Hilbert space operators. More preciously, these inequalities refine the recent inequalities that were proved in literature.
Ayman Hazaymeh   +4 more
doaj   +2 more sources

Further numerical radius inequalities

open access: yesJournal of Mathematical Inequalities, 2022
. In this work, some numerical radius inequalities for Hilbert space operators are intro- duced. Namely, we applying the Hermite-Hadamard inequality and some other recent results by using the concept of operator convexity and superquadracity.
M. Alomari, Satyajit Sahoo, M. Bakherad
semanticscholar   +5 more sources

On Numerical Radius Bounds Involving Generalized Aluthge Transform

open access: yesJournal of Function Spaces, 2022
In this paper, we establish some upper bounds of the numerical radius of a bounded linear operator S defined on a complex Hilbert space with polar decomposition S=U∣S∣, involving generalized Aluthge transform.
Tao Yan   +4 more
doaj   +2 more sources

The weighted numerical radius

open access: yesAnnals of Functional Analysis, 2021
The authors introduce the so-called weighted numerical radius of Hilbert space operators and establish many permanence properties of such radius.
A. Sheikhhosseini   +2 more
semanticscholar   +2 more sources

Numerical Radius and Operator Norm Inequalities

open access: yesJournal of Inequalities and Applications, 2009
A general inequality involving powers of the numerical radius for sums and products of Hilbert space operators is given. This inequality generalizes several recent inequalities for the numerical radius, and includes that if and are operators on a ...
Albadawi Hussien, Shebrawi Khalid
doaj   +4 more sources

Weighted Inequalities For The Numerical Radius [PDF]

open access: yesVietnam Journal of Mathematics, 2021
In this article, we obtain several new weighted bounds for the numerical radius of a Hilbert space operator. The significance of the obtained results is the way they generalize many existing results in the literature; where certain values of the weights ...
S. Sheybani, M. Sababheh, H. Moradi
semanticscholar   +4 more sources

Numerical Radius Inequalities for Hilbert Space Operators [PDF]

open access: yesComplex Analysis and Operator Theory, 2018
In this work, an improvement of Hölder–McCarty inequality is established. Based on that, several refinements of the generalized mixed Schwarz inequality are obtained. Consequently, some new numerical radius inequalities are proved.
M. Alomari
semanticscholar   +5 more sources

Numerical radius inequalities for Hilbert $C^*$-modules [PDF]

open access: yesMathematica Bohemica, 2022
We present a new method for studying the numerical radius of bounded operators on Hilbert $C^*$-modules. Our method enables us to obtain some new results and generalize some known theorems for bounded operators on Hilbert spaces to bounded adjointable ...
Sadaf Fakri Moghaddam   +1 more
doaj   +1 more source

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