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
- Brahim Moussa, Ismaël Nyanquini, Stanislas Ouaro, Weak solutions of a discrete Robin problem involving the anisotropic \(\vec{p}\)-mean curvature operator , CUBO, A Mathematical Journal: Vol. 28 No. 1 (2026)
- E. A. Eljamal, M. Darus, Majorization for certain classes of analytic functions defined by a new operator , CUBO, A Mathematical Journal: Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal
- Hleili Khaled, Omri Slim, Lakhdar Rachdi, Uncertainty principle for the Riemann-Liouville operator , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- M. Lellis Thivagar, S. Athisaya Ponmani, R. Raja Rajeswari, Erdal Ekici, On Some Bitopological ð›¾-Separation Axioms , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Mahmoud Benkhalifa, Note on the \(F_{0}\)-spaces , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Donal O‘Regan, Reza Saadati, â„’ -Random and Fuzzy Normed Spaces and Classical Theory , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Elke Wolf, Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Mercedes Fernández Miranda, Elementos regulares de una C• álgebra , CUBO, A Mathematical Journal: No. 7 (1991): CUBO, Revista de Matemática
- Naoyuki Koike, Examples of a complex hyperpolar action without singular orbit , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Chia-chi Tung, On Semisubmedian Functions and Weak Plurisubharmonicity , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
<< < 5 6 7 8 9 10 11 12 13 14 15 16 > >>
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
