Results 21 to 30 of about 770,616 (284)
Generalized numerical radius and related inequalities [PDF]
Operators and Matrices, 2021 They proved several properties and introduced some inequalities. We continue with the study of this generalized numerical radius and we develop diverse inequalities involving w_N. We also study particular cases with a fixed N(.), for instance the p-Schatten norms. In ["A generalization of the numerical radius". Linear Algebra Appl.
Bottazzi, Tamara Paula +1 more
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Small localized black holes in a braneworld: Formulation and numerical method [PDF]
, 2003 No realistic black holes localized on a 3-brane in the Randall-Sundrum infinite braneworld have been found so far. The problem of finding a static black hole solution is reduced to a boundary value problem. We solve it by means of a numerical method, and
A. Chamblin +56 more
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INEQUALITIES FOR THE NORM AND NUMERICAL RADIUS FOR HILBERT 𝐶 * -MODULE OPERATORS
Проблемы анализа, 2020 In this paper, we introduce some inequalities between the operator norm and the numerical radius of adjointable operators on Hilbert 𝐶*-module spaces.
Mohsen Shah Hosseini, Baharak Moosavi
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On Some Inequalities for the Generalized Euclidean Operator Radius
Axioms, 2023 In the literature, there are many criteria to generalize the concept of a numerical radius; one of the most recent and interesting generalizations is the so-called generalized Euclidean operator radius, which reads: ωpT1,⋯,Tn:=supx=1∑i=1nTix,xp1/p,p≥1 ...
Mohammad W. Alomari +3 more
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Refinements of numerical radius inequalities using the Kantorovich ratio
Concrete Operators, 2022 In this paper, we improve some numerical radius inequalities for Hilbert space operators under suitable condition. We also compare our results with some known results. As application of our result, we obtain an operator inequality.
Nikzat Elham, Omidvar Mohsen Erfanian
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Numerical radius inequalities of operator matrices with applications
, 2020 We present upper and lower bounds for the numerical radius of $2 \times 2$ operator matrices which improves on the existing bound for the same.
Bag, Santanu +2 more
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Some inequalities for the numerical radius and rhombic numerical radius
Kragujevac Journal of Mathematics, 2018 Summary: In this paper, the definition rhombic numerical radius is introduced and we present several numerical radius inequalities. Some applications of these inequalities are considered as well. Particular, it is shown that, if \(A\in\mathcal{B}(\mathcal{H})\) with the Cartesian decomposition \(A=C+iD\) and \(r\geq 1\), then \[ \begin{aligned}\omega^r(
Bajmaeh, Akram Babri +1 more
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The weighted Hilbert–Schmidt numerical radius
Linear Algebra and its Applications, 2023 Let $\mathbb{B}(\mathcal{H})$ be the algebra of all bounded linear operators on a Hilbert space $\mathcal{H}$ and let $N(\cdot)$ be a norm on $\mathbb{B}(\mathcal{H})$. For every $0\leq \leq 1$, we introduce the $w_{_{(N, )}}(A)$ as an extension of the classical numerical radius by \begin{align*} w_{_{(N, )}}(A):= \displaystyle{\sup_{ \in \mathbb ...
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Weighted Inequalities For The Numerical Radius [PDF]
Vietnam 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 imply some known results, or refinements of these results.
Shiva Sheybani +2 more
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Some Results on Polynomial Numerical Hulls of Perturbed Matrices [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, the behavior of the pseudopolynomial numerical hull of a square complex matrix with respect to structured perturbations and its radius is investigated.
Madjid Khakshour, Gholamreza Aghamollaei
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