Results 51 to 60 of about 227 (91)
Constant norms and numerical radii of matrix powers
For an n -by-n complex matrix A , we consider conditions on A for which the operator norms ‖Ak‖ (resp., numerical radii w(Ak) ), k 1 , of powers of A are constant.
Hwa-Long Gau, Kuo-Zhong Wang, P. Wu
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Some inequalities for unitarily invariant norms of matrices
This article aims to discuss inequalities involving unitarily invariant norms. We obtain a refinement of the inequality shown by Zhan. Meanwhile, we give an improvement of the inequality presented by Bhatia and Kittaneh for the Hilbert-Schmidt norm ...
Wang Shaoheng, Zou Limin, Jiang Youyi
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Analysis of the energy decay of a viscoelasticity type equation
In this paper, we study the evolution of the energy density of a sequence of solutions of a problem related to a viscoelasticity model where the viscosity term is a pseudo-differential operator of order 2α with α ∈ (0, 1).
Atallah-Baraket Amel, Trabelsi Maryem
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Fourier cosine-Laplace generalized convolution inequalities and applications
We introduce several weighted Lp(R+) -norm inequalities and integral transform related to the generalized convolution with a weight function for the Fourier cosine and Laplace transforms.
N. X. Thao, Le Xuan Huy
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Power vector inequalities for operator pairs in Hilbert spaces and their applications
This study explores the power vector inequalities for a pair of operators (B,C)\left(B,C) in a Hilbert space. By utilizing a Mitrinović-Pečarić-Fink-type inequality for inner products and norms, we derive various power vector inequalities.
Altwaijry Najla+2 more
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Berezin number inequalities for operators
The Berezin transform à of an operator A, acting on the reproducing kernel Hilbert space ℋ = ℋ (Ω) over some (non-empty) set Ω, is defined by Ã(λ) = 〉Aǩ λ, ǩ λ〈 (λ ∈ Ω), where k⌢λ=kλ‖kλ‖${\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\frown ...
Bakherad Mojtaba, Garayev Mubariz T.
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Selfadjoint operators, normal operators, and characterizations
Let B(H) be the C∗ -algebra of all bounded linear operators acting on a complex separable Hilbert space H . We shall show that: 1. The class of all selfadjoint operators in B(H) multiplied by scalars is characterized by ∀X ∈ B(H), ∥∥S2X +XS2∥∥ 2‖SXS ...
A. Seddik
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Additive refinements and reverses of Young's operator inequality with applications
In this paper we obtain some new additive refinements and reverses of Young’s operator inequality. Applications related to the Hölder-McCarthy inequality for positive operators and for trace class operators on Hilbert spaces are given as well ...
S. Dragomir
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A posteriori analysis of the spectral element discretization of heat equation
In this paper, we present a posteriori analysis of the discretization of the heat equation by spectral element method. We apply Euler’s implicit scheme in time and spectral method in space.
Chorfi Nejmeddine+2 more
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A simulation algorithm for a single server retrial queuing system with batch arrivals
Many systems of real word are modeled by retrial queuing system with batch arrivals. Analytical formulas for this class of systems are complicated and address only particular cases.
Florea Ion, Nǎnǎu Corina-Ştefania
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