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
- George A. Anastassiou, Quantitative Approximation by a Kantorovich-Shilkret quasi-interpolation neural network operator , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- Luiz Antonio Pereira Gomes, Eduardo Brandani da Silva, A Characterization of the Product Hardy Space 𻹠, CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
- Sehie Park, Remarks on KKM Maps and Fixed Point Theorems in Generalized Convex Spaces , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- William Dimbour, Jean-Claude Mado, S-asymptotically ω-periodic solution for a nonlinear differential equation with piecewise constant argument in a Banach space , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
- Abdelhamid Bensalem, Abdelkrim Salim, Bashir Ahmad, Mouffak Benchohra, Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- M. T. Alcalde, Ricardo Baeza, Cesar Burgueño, Caracterización en Álgebras de Bernstein , CUBO, A Mathematical Journal: No. 4 (1988): CUBO, Revista de Matemática
- Philip J. Maher, Mohammad Sal Moslehian, More on approximate operators , CUBO, A Mathematical Journal: Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal
- Jan Brandts, Computation of Invariant Subspaces of Large and Sparse Matrices , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- Patrícia Hess, Severino T. Melo, K-Theory of an Algebra of Pseudodifferential Operators on a Noncompact Manifold , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
- Joachim Toft, Pseudo-differential operators with smooth symbols on modulation spaces , CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
<< < 6 7 8 9 10 11 12 13 14 15 16 17 > >>
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
