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
- Abdelilah Azghay, Mohammed Massar, On a class of fractional \(p(\cdot,\cdot)-\)Laplacian problems with sub-supercritical nonlinearities , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Volodymyr Sushch, Discrete model of Yang-Mills equations in Minkowski space , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
- Giuseppe Da Prato, Elliptic operators with infinitely many variables , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
- Barnabas Hughes, The Geometric Algebra of Leonardo da Pisa, a.k.a. Fibonacci , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- Paul M. Cohn, The Weyl algebra and its field of fractions , CUBO, A Mathematical Journal: Vol. 5 No. 2 (2003): CUBO, Matemática Educacional
- Consuelo Martinez, Algebra no conmutativa: Del finito al Infinito , CUBO, A Mathematical Journal: Vol. 5 No. 2 (2003): CUBO, Matemática Educacional
- Cong He, Jingchun Chen, Vlasov-Poisson equation in weighted Sobolev space \(W^{m, p}(w)\) , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Carlos Lizama, Una Introducción a Teoría Espectral de Operadores , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
- Derek Hacon, Jordan normal form via ODE's , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- R. Mendoza, J. Rojas, Função de Correlação e Álgebra Linear , CUBO, A Mathematical Journal: Vol. 3 No. 1 (2001): CUBO, Matemática Educacional
<< < 13 14 15 16 17 18 19 20 21 22 23 24 > >>
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
