Results 41 to 50 of about 100,077 (295)
Generalized numerical radius and related inequalities [PDF]
Operators and Matrices, 2021 17 ...
Bottazzi, Tamara Paula +1 more
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Roughness signature of tribological contact calculated by a new method of peaks curvature radius estimation on fractal surfaces [PDF]
, 2013 This paper proposes a new method of roughness peaks curvature radii calculation and its application to tribological contact analysis as characteristic signature of tribological contact.
Bigerelle, M. +18 more
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An extension of the a-numerical radius on $$C^*$$-algebras
Banach Journal of Mathematical Analysis, 2023 19 ...
Mohamed Mabrouk, Ali Zamani
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Matricial Radius: A Relation of Numerical radius with Matricial Range
, 2019 It has been shown that if $T$ is a complex matrix, then {\small\begin{align*} ω(T)&=\frac{1}{n}\sup\left\{|\mathrm{Tr}\ X|;\ X\in W^n(T)\right\}\\ &=\frac{1}{n}\sup\left\{\|X\|_1;\ X\in W^n(T)\right\}\\ &= \sup\left\{ ω(X);\ X\in W^n(T)\right\} \end{align*} } where $n$ is a positive integer, $ω(T)$ is the numerical radius and $W^n(T)$ is ...
Dehghani, Mahdi +2 more
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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 $Ω(x)$ as a definition of numerical radius for an element $x\in\mathscr{V}$ and then show that $Ω(\cdot)$ is a norm on $\mathscr{V}$ such that $\frac{1}{2}{\|x\|} \leq Ω(x) \leq {\|x\|}$. In addition, we obtain an equivalent condition for $Ω(x)
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ON NUMERICAL RADIUS INEQUALITIES FOR OPERATOR PRODUCTS IN HILBERT SPACES
Проблемы анализаWe establish several numerical radius inequalities for products of two operators on a Hilbert space. Some of the obtained inequalities improve well-known results. More precisely, we show that if 𝐴, 𝐵 \in 𝐵(𝐻) double commute, then 𝑤(𝐴𝐵)
Ahmed Elbarbouchi +1 more
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Some inequalities for the Euclidean operator radius of two operators in Hilbert spaces
, 2006 Some sharp bounds for the Euclidean operator radius of two bounded linear operators in Hilbert spaces are given. Their connection with Kittaneh’s recent results which provide sharp upper and lower bounds for the numerical radius of linear operators are ...
Dragomir, Sever S., Dragomir, Sever S
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Improved Bounds for the Euclidean Numerical Radius of Operator Pairs in Hilbert Spaces
MathematicsThis paper presents new lower and upper bounds for the Euclidean numerical radius of operator pairs in Hilbert spaces, demonstrating improvements over recent results by other authors.
Najla Altwaijry +2 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 $0\leq ν\leq 1$, we introduce the $w_{_{(N,ν)}}(A)$ as an extension of the classical numerical radius by \begin{align*} w_{_{(N,ν)}}(A):= \displaystyle{\sup_{θ\in \mathbb{R}}}
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Applied Sciences, 2023 Compared with straight tunnels, small-radius curved tunnels are more common and have more complex influencing factors in urban underground traffic. Therefore, the seismic evaluation of small-radius curved tunnels is of great significance for the safe ...
Xiaojiu Feng +3 more
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