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
- Abdeldjalil Aouane, Smaïl Djebali, Mohamed Aziz Taoudi, Mild solutions of a class of semilinear fractional integro-differential equations subjected to noncompact nonlocal initial conditions , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Pablo A. Díaz, Absolutely continuous spectrum preservation: A new proof for unitary operators under finite-rank multiplicative perturbations , CUBO, A Mathematical Journal: Vol. 27 No. 3 (2025)
- Sunny Chauhan, B. D. Pant, Mohammad Imdad, Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- E. A. Grove, E. Lapierre, W. Tikjha, On the global behavior of ð‘¥áµ¤â‚Šâ‚ = |ð‘¥áµ¤|− ð‘¦áµ¤ − 1 and ð‘¦áµ¤â‚Šâ‚ = ð‘¥áµ¤ +|ð‘¦áµ¤| , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- P. Jeyanthi, S. Philo, Odd Harmonious Labeling of Some Classes of Graphs , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Juan B. Gil, Structure of Resolvents of Elliptic Cone Differential Operators: A Brief Survey , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
- Colin Guillarmou, Scattering Theory on Geometrically Finite Quotients with Rational Cusps , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
- Monique Combescure, Circulant Matrices, Gauss Sums and Mutually Unbiased Bases, I. The Prime Number Case , CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
- K. Kalyani, N. Seshagiri Rao, Coincidence point results of nonlinear contractive mappings in partially ordered metric spaces , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Adrian Petrus¸el, Ioan A. Rus, Marcel Adrian S¸erban, Fixed Points for Operators on Generalized Metric Spaces , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
<< < 8 9 10 11 12 13 14 15 16 17 18 19 > >>
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
