Results 1 to 10 of about 445 (98)

Conserved Quantities of a Nonlinear Coupled System of Korteweg-De Vries Equations

open access: yesINTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH, 2022
The conserved vectors from a system of coupled Kortewegde Vries equations that have modelled the propagation of shallow water waves, ion-acoustic waves in plasmas, solitons, and nonlinear perturbations along internal surfaces between layers of different ...
Joseph E Owuor
semanticscholar   +1 more source

Linear Lie centralizers of the algebra of strictly block upper triangular matrices

open access: yesOperators and Matrices, 2021
Let N be the algebra of all n×n strictly block upper triangular matrices over a field F . In this paper, we describe all linear Lie centralizers of N . We also show that every linear Lie centralizer of N is a centralizer.
P. Ghimire
semanticscholar   +1 more source

Characterizations of *-antiderivable mappings on operator algebras

open access: yesOpen Mathematics, 2022
Let A{\mathcal{A}} be a ∗\ast -algebra, ℳ{\mathcal{ {\mathcal M} }} be a ∗\ast -A{\mathcal{A}}-bimodule, and δ\delta be a linear mapping from A{\mathcal{A}} into ℳ{\mathcal{ {\mathcal M} }}.
An Guangyu, Zhang Xueli, He Jun
doaj   +1 more source

Characterization of Lipschitz functions via the commutators of multilinear fractional integral operators in variable Lebesgue spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2023
The main purpose of this article is to establish some new characterizations of the (variable) Lipschitz spaces in terms of the boundedness of commutator of multilinear fractional Calderón-Zygmund integral operators in the context of the variable exponent
Zhang Pu, Wu Jianglong
doaj   +1 more source

Derivation-homomorphism functional inequalities

open access: yes, 2021
In this paper, we introduce and solve the following additive-additive (s,t) -functional inequality ‖g(x+ y)−g(x)−g(y)‖+‖h(x+ y)+h(x− y)−2h(x)‖ (1) ∥∥∥s ( 2g ( x+ y 2 ) −g(x)−g(y) ∥∥∥+ ∥∥∥t ( 2h ( x+ y 2 ) +2h ( x− y 2 ) −2h(x) ∥∥∥ , where s and t are ...
Choonkill Park
semanticscholar   +1 more source

A system of additive functional equations in complex Banach algebras

open access: yesDemonstratio Mathematica, 2023
In this article, we solve the system of additive functional equations: 2f(x+y)−g(x)=g(y),g(x+y)−2f(y−x)=4f(x)\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}2f\left(x+y)-g\left(x)=g(y),\\ g\left(x+y)-2f(y-x)=4f\left(x)\end{array}\right.
Paokanta Siriluk   +3 more
doaj   +1 more source

New class of operators where the distance between the identity operator and the generalized Jordan ∗-derivation range is maximal

open access: yesDemonstratio Mathematica, 2021
A new class of operators, larger than ∗\ast -finite operators, named generalized ∗\ast -finite operators and noted by Gℱ∗(ℋ){{\mathcal{G {\mathcal F} }}}^{\ast }\left({\mathcal{ {\mathcal H} }}) is introduced, where: Gℱ∗(ℋ)={(A,B)∈ℬ(ℋ)×ℬ(ℋ):∥TA−BT∗−λI ...
Messaoudene Hadia, Mesbah Nadia
doaj   +1 more source

Range-Kernel orthogonality and elementary operators on certain Banach spaces

open access: yesDemonstratio Mathematica, 2021
The characterization of the points in Cp:1 ...
Bachir Ahmed   +3 more
doaj   +1 more source

Range-kernel weak orthogonality of some elementary operators

open access: yesOpen Mathematics, 2021
We study the range-kernel weak orthogonality of certain elementary operators induced by non-normal operators, with respect to usual operator norm and the Von Newmann-Schatten pp-norm (1 ...
Bachir Ahmed   +2 more
doaj   +1 more source

n-derivations and functional inequalities with applications

open access: yesMathematical Inequalities & Applications, 2020
We prove that every bounded n -derivation of a commutative factorizable Banach algebra maps into its radical. Also, the nilpotency of eigenvectors of any bounded n -derivation corresponding to its eigenvalues is derived.
A. Alinejad, H. Khodaei, M. Rostami
semanticscholar   +1 more source

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