Results 31 to 40 of about 4,538,824 (321)
Numerical radius and Berezin number inequality [PDF]
Journal of Mathematical Analysis and Applications, 2022 . We study various inequalities for numerical radius and Berezin number of a bounded linear operator on a Hilbert space. It is proved that the numerical radius of a pure two-isometry is 1 and the Crawford number of a pure two-isometry is 0. In particular,
Satyabrata Majee, Amit Maji, A. Manna
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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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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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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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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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Numerical radius inequalities for tensor product of operators [PDF]
Proceedings - Mathematical Sciences, 2022 The two well-known numerical radius inequalities for the tensor product $$A \otimes B$$ A ⊗ B acting on $${\mathbb {H}} \otimes {\mathbb {K}}$$ H ⊗ K , where A and B are bounded linear operators defined on complex Hilbert spaces $${\mathbb {H}} $$ H and $
Anirban Sen, Pintu Bhunia, K. Paul
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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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Structure of a Bathtub Vortex : Importance of the Bottom Boundary Layer [PDF]
, 2010 A bathtub vortex in a cylindrical tank rotating at a constant angular velocity [omega] is studied by meansof a laboratory experiment, a numerical experiment and a boundary layer theory.
A. Andersen +13 more
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On the Numerical Range and Numerical Radius of the Volterra Operator
Известия Иркутского государственного университета: Серия "Математика", 2018 In this paper, we investigated the numerical range and the numerical radius of the classical Volterra operator on the complex space $L^2[0,1]$. In particular, we determined the numerical range, the numerical radius of real and imaginary part of the ...
L. Khadkhuu, D. Tsedenbayar
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