Results 11 to 20 of about 100,077 (295)
Numerical Radius and Operator Norm Inequalities
Journal 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 ...
Shebrawi Khalid +3 more
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Numerical radius inequalities for Hilbert $C^{*}$-modules [PDF]
Mathematica Bohemica, 2022 summary: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 ...
Fakri Moghaddam, Sadaf +1 more
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Further Accurate Numerical Radius Inequalities
Axioms, 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. The inequalities that have been demonstrated in this work are not only an improvement over old inequalities but also stronger than them ...
Tariq Qawasmeh +4 more
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On the Numerical Range and Numerical Radius of the Volterra Operator
The Bulletin of Irkutsk State University. Series Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
L. Khadkhuu, D. Tsedenbayar
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On the numerical radius parallelism and the numerical radius Birkhoff orthogonality
In this paper, we generalize the notions of numerical radius parallelism and numerical radius Birkhoff orthogonality, originally formulated for operators on Hilbert spaces, to operators on normed spaces.
Xie, Huayou, Bi, Jiaye, Li, Yongjin
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On Numerical Radius Bounds Involving Generalized Aluthge Transform
Journal 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.
Kamsing Nonlaopon +4 more
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Computing the numerical radius
Linear Algebra and its Applications, 1996 A simple algorithm is presented for computing the numerical radius of a complex matrix.
Watson, G.A.
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On inequalities for A-numerical radius of operators
, 2020 Let $A$ be a positive operator on a complex Hilbert space $\mathcal{H}.$ Inequalities are presented concerning upper and lower bounds for $A$-numerical radius of operators, which improve on and generalize the existing ones, studied recently in [A. Zamani.
Paul, Kallol +2 more
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On Further Refinements of Numerical Radius Inequalities
Axioms, 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
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Some class of numerical radius peak $n$-linear mappings on $l_p$-spaces
Математичні Студії, 2022 For $n\geq 2$ and a real Banach space $E,$ ${\mathcal L}(^n E:E)$ denotes the space of all continuous $n$-linear mappings from $E$ to itself. Let $$\Pi(E)=\Big\{[x^*, (x_1, \ldots, x_n)]: x^{*}(x_j)=\|x^{*}\|=\|x_j\|=1~\mbox{for}~{j=1, \ldots, n}\Big\}.$$
S. G. Kim
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