Results 1 to 10 of about 387 (63)

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

Demonstratio 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

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

Analysis 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

Characterizations of *-antiderivable mappings on operator algebras

Open 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

A system of additive functional equations in complex Banach algebras

Demonstratio 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, Dehghanian Mehdi, Park Choonkil, Sayyari Yamin   +3 more
doaj   +1 more source

Range-kernel weak orthogonality of some elementary operators

Open 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, Segres Abdelkader, Sayyaf Nawal A.   +2 more
doaj   +1 more source

Range-Kernel orthogonality and elementary operators on certain Banach spaces

Demonstratio Mathematica, 2021
The characterization of the points in Cp:1 ...
Bachir Ahmed, Segres Abdelkader, Sayyaf Nawal Ali, Ouarghi Khalid   +3 more
doaj   +1 more source

A note on commutators of strongly singular Calderón-Zygmund operators

Open Mathematics, 2022
In this article, the authors consider the commutators of strongly singular Calderón-Zygmund operator with Lipschitz functions. A sufficient condition is given for the boundedness of the commutators from Lebesgue spaces Lp(Rn){L}^{p}\left({{\mathbb{R ...
Zhang Pu, Zhu Xiaomeng
doaj   +1 more source

Jordan centralizer maps on trivial extension algebras

Demonstratio Mathematica, 2020
The structure of Jordan centralizer maps is investigated on trivial extension algebras. One may obtain some conditions under which a Jordan centralizer map on a trivial extension algebra is a centralizer map. As an application, we characterize the Jordan
Bahmani Mohammad Ali, Ghomanjani Fateme, Shateyi Stanford   +2 more
doaj   +1 more source

Some results on generalized finite operators and range kernel orthogonality in Hilbert spaces

Demonstratio Mathematica, 2021
Let ℋ{\mathcal{ {\mathcal H} }} be a complex Hilbert space and ℬ(ℋ){\mathcal{ {\mathcal B} }}\left({\mathcal{ {\mathcal H} }}) denotes the algebra of all bounded linear operators acting on ℋ{\mathcal{ {\mathcal H} }}.
Mesbah Nadia, Messaoudene Hadia, Alharbi Asma   +2 more
doaj   +1 more source

Hyers-Ulam-Rassias stability of (m, n)-Jordan derivations

Open Mathematics, 2020
In this paper, we study the Hyers-Ulam-Rassias stability of (m,n)(m,n)-Jordan derivations. As applications, we characterize (m,n)(m,n)-Jordan derivations on C⁎{C}^{\ast }-algebras and some non-self-adjoint operator algebras.
An Guangyu, Yao Ying
doaj   +1 more source