Results 11 to 20 of about 770,616 (284)
Annals 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.
Sheikhhosseini, Alemeh +2 more
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Numerical Radius Inequalities Concerning with Algebra Norms
Mediterranean Journal of Mathematics, 2021 We give an expression for a generalized numerical radius of Hilbert space operators and then apply it to obtain upper and lower bounds for the generalized numerical radius. We also establish some generalized numerical radius inequalities involving the product of two operators. Applications of our inequalities are also provided.
Ali Zamani +3 more
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Certain numerical radius contraction operators [PDF]
Proceedings of the American Mathematical Society, 1971 In this paper an operator T means a bounded linear operator on a complex Hilbert space H. The numerical radius norm w ( T ) w(T) of an operator T, is defined by w ( T ) = sup | ( T x , x )
Furuta, Takayuki, Nakamoto, Ritsuo
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More accurate numerical radius inequalities (I) [PDF]
Linear and Multilinear Algebra, 2019 This article complements our previous work in arXiv:1906 ...
Hamid Reza Moradi, Mohammad Sababheh
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Numerical study of hybrid third order compact scheme for hyperbolic conservation laws
Energy Reports, 2020 In this paper, we present a numerical study to study the capability of the radius of curvature to detect the discontinuous point for hybrid high order schemes.
Indra Wibisono, Yanuar, E.A. Kosasih
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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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NUMERICAL RADIUS NORMS ON OPERATOR SPACES [PDF]
Journal of the London Mathematical Society, 2006 We introduce a numerical radius operator space $(X, \mathcal{W}_n)$. The conditions to be a numerical radius operator space are weaker than the Ruan's axiom for an operator space $(X, \mathcal{O}_n)$. Let $w(\cdot)$ be the numerical radius norm on $\mathbb{B}(\mathcal{H})$.
Itoh, T., Nagisa, M.
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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.
Tao Yan +4 more
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Gap Between Operator Norm and Spectral Radius for the Square of Antidiagonal Block Operator Matrices
Communications in Advanced Mathematical Sciences, 2022 In this work, the gap between operator norm and spectral radius for the square of antidiagonal block operator matrices in the direct sum of Banach spaces has been investigated, and also the gap between operator norm and numerical radius for the square of
Elif Otkun Çevik
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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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