Results 21 to 30 of about 768,175 (328)
Numerical radius in Hilbert C✻-modules [PDF]
Mathematical Inequalities & Applications, 2021 Utilizing the linking algebra of a Hilbert $C^*$-module $\big(\mathscr{V}, {\|\!\cdot\!\|}\big)$, we introduce $ (x)$ as a definition of numerical radius for an element $x\in\mathscr{V}$ and then show that $ (\cdot)$ is a norm on $\mathscr{V}$ such that $\frac{1}{2}{\|x\|} \leq (x) \leq {\|x\|}$. In addition, we obtain an equivalent condition for $
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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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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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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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More inequalities on numerical radii of sectorial matrices
AIMS Mathematics, 2021 In this article, we refine some numerical radius inequalities of sectorial matrices recently obtained by Bedrani , Kittaneh and Sababheh. Among other results, it is shown that if $A_i\in\mathbb{M}_n(\mathbb{C})$ with $W(A_i)\subseteq S_{\alpha}$, $i=1,2 ...
Chaojun Yang
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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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Algorithms, 2022 In this work, some new inequalities for the numerical radius of block n-by-n matrices are presented. As an application, the bounding of zeros of polynomials using the Frobenius companion matrix partitioned by the Cartesian decomposition method is proved.
Mohammad W. Alomari, Christophe Chesneau
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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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