Results 51 to 60 of about 227 (91)

Constant norms and numerical radii of matrix powers

open access: yesOperators and Matrices, 2019
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
semanticscholar   +1 more source

Some inequalities for unitarily invariant norms of matrices

open access: yesJournal of Inequalities and Applications, 2011
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
doaj  

Analysis of the energy decay of a viscoelasticity type equation

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
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
doaj   +1 more source

Fourier cosine-Laplace generalized convolution inequalities and applications

open access: yesMathematical Inequalities & Applications, 2019
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
semanticscholar   +1 more source

Power vector inequalities for operator pairs in Hilbert spaces and their applications

open access: yesOpen Mathematics
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
doaj   +1 more source

Berezin number inequalities for operators

open access: yesConcrete Operators, 2019
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.
doaj   +1 more source

Selfadjoint operators, normal operators, and characterizations

open access: yesOperators and Matrices, 2019
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
semanticscholar   +1 more source

Additive refinements and reverses of Young's operator inequality with applications

open access: yesJournal of Mathematical Inequalities, 2019
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
semanticscholar   +1 more source

A posteriori analysis of the spectral element discretization of heat equation

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
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
doaj   +1 more source

A simulation algorithm for a single server retrial queuing system with batch arrivals

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
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
doaj   +1 more source

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