Results 11 to 20 of about 768,175 (328)
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 ...
Albadawi Hussien, Shebrawi Khalid
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Numerical radius orthogonality in $$C^*$$-algebras [PDF]
Annals of Functional Analysis, 2020 In this paper we characterize the Birkhoff--James orthogonality with respect to the numerical radius norm $v(\cdot)$ in $C^*$-algebras. More precisely, for two elements $a, b$ in a $C^*$-algebra $\mathfrak{A}$, we show that $a\perp_{B}^{v} b$ if and only if for each $ \in [0, 2 )$, there exists a state $ _{_ }$ on $\mathfrak{A}$ such that $| _{_ }
Zamani, Ali, Wójcik, Paweł
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Further numerical radius inequalities
Journal of Mathematical Inequalities, 2022 In this article, we present some new inequalities for the numerical radius of products of Hilbert space operators and the generalized Aluthge transform. In particular, we show some upper bounds for $ω(ABC+DEF)$ using the celebrated Buzano inequality, then some consequences that generalize some results from the literature are discussed.
Sababheh, Mohammad +2 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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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 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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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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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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