Some Inequalities of the Gruss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces [PDF]
, 2008 Some inequalities of the Gr¨ uss type for the numerical radius of bounded linear operators in Hilbert spaces are ...
S. S. Dragomir +2 more
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Generalized numerical radius and related inequalities [PDF]
Operators and Matrices, 2021 17 ...
Bottazzi, Tamara Paula +1 more
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Inequalities for the Norm and the Numerical Radius of Linear Operators in Hilbert Spaces [PDF]
, 2005 In this paper various inequalities between the operator norm and its numerical radius are provided. For this purpose, we employ some classical inequalities for vectors in inner product spaces due to Buzano, Goldstein-Ryff- Clarke, Dragomir-Sándor and ...
Dragomir, Sever S
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On Some Numerical Radius Inequalities Involving Generalized Aluthge Transform
Journal of Function Spaces, 2022 Let S be any bounded linear operator defined on a complex Hilbert space H. In this paper, we present some numerical radius inequalities involving the generalized Aluthge transform to attain upper bounds for numerical radius.
Javariya Hyder +3 more
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Refinements of A-numerical radius inequalities and their applications [PDF]
Advances in Operator Theory, 2020 We present sharp lower bounds for the A-numerical radius of semi-Hilbertian space operators. We also present an upper bound. Further we compute new upper bounds for the $B$-numerical radius of $2 \times 2$ operator matrices where $B = \textit{diag}(A,A)$, $A$ being a positive operator. As an application of the A-numerical radius inequalities, we obtain
Bhunia, Pintu +2 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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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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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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The decomposable numerical radius and numerical radius of a compound matrix
Linear Algebra and its Applications, 1986 Given an \(n\times n\) complex matrix A with singular values \(\alpha_ 1\geq \alpha_ 2\geq...\geq \alpha_ n\) and eigenvalues \(\lambda_ 1,\lambda_ 2,...,\lambda_ n\), where \(| \lambda_ 1| \geq | \lambda_ 2| \geq...\geq | \lambda_ n|\), denote by \(C_ m(A)\) the m-th compound of A(1\(\leq m\leq n)\) and by \(r_ d(C_ m(A))\) and \(r(C_ m(A))\) the ...
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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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