On Two-Sided Centralizers of Rings and Algebras
-
Joso Vukman
joso.vukman@uni-mb.si
-
Irena Kosi-Ulbl
irena.kosi@uni-mb.si
Downloads
Abstract
In this paper we prove the following result. Let A be a semisimple H*−algebra and let T : A → A be an additive mapping satisfying the relation (n + 1)T(xnm+1) = T(x)xnm + xmT(x)x(n−1)m + · · · + xnmT(x), for all x ∈ A and some fixed integers m ≥ 1, n ≥ 1. In this case T is a two-sided centralizer.
Keywords
Most read articles by the same author(s)
- Irena Kosi-Ulbl, Joso Vukman, An identity related to derivations of standard operator algebras and semisimple H∗ -algebras , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
Similar Articles
- Terje Hill, David A. Robbins, Vector-valued algebras and variants of amenability , CUBO, A Mathematical Journal: Vol. 27 No. 3 (2025)
- Grigori Rozenblum, Nikolay Shirokov, Entire Functions in Weighted ð˜“â‚‚ and Zero Modes of the Pauli Operator with Non-Signdefinite Magnetic Field , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- Nguyen Buong, Convergence rates in regularization for ill-posed variational inequalities , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- Vediyappan Govindan, Choonkil Park, Sandra Pinelas, Themistocles M. Rassias, Hyers-Ulam stability of an additive-quadratic functional equation , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
- David Békollè, Khalil Ezzinbi, Samir Fatajou, Duplex Elvis Houpa Danga, Fritz Mbounja Béssémè, Convolutions in \((\mu,\nu)\)-pseudo-almost periodic and \((\mu,\nu)\)-pseudo-almost automorphic function spaces and applications to solve integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Essozimna Kpizim, Bertin Dehigbe, Ramkumar Kasinathan, Ravikumar Kasinathan, Mamadou Abdoul Diop, Approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by Rosenblatt process via resolvent operators , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- George A. Anastassiou, Approximation by discrete singular operators , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Gabriel M. Antón Marval, René E. Castillo, Julio C. Ramos-Fernández, Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces , CUBO, A Mathematical Journal: Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal
- P. Brückmann, Tensor Differential Forms and Some Birational Invariants of Projective Manifolds , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- Elhoussain Arhrrabi, Hamza El-Houari, Fractional Sobolev space: Study of Kirchhoff-Schrödinger systems with singular nonlinearity , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
<< < 2 3 4 5 6 7 8 9 10 11 12 13 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2008-10-01
How to Cite
[1]
J. Vukman and I. Kosi-Ulbl, “On Two-Sided Centralizers of Rings and Algebras”, CUBO, vol. 10, no. 3, pp. 211–222, Oct. 2008.
Issue
Section
Articles
