Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 10, Number 2 (2016), 223-234.
On Jordan centralizers of triangular algebras
Let be a unital algebra over a number field . A linear mapping from into itself is called a Jordan-centralized mapping at a given point if for all , with . In this paper, it is proved that each Jordan-centralized mapping at a given point of triangular algebras is a centralizer. These results are then applied to some non-self-adjoint operator algebras.
Banach J. Math. Anal., Volume 10, Number 2 (2016), 223-234.
Received: 5 April 2015
Accepted: 26 May 2015
First available in Project Euclid: 23 February 2016
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 47L35: Nest algebras, CSL algebras
Secondary: 47B47: Commutators, derivations, elementary operators, etc. 17B40: Automorphisms, derivations, other operators 17B60: Lie (super)algebras associated with other structures (associative, Jordan, etc.) [See also 16W10, 17C40, 17C50]
Liu, Lei. On Jordan centralizers of triangular algebras. Banach J. Math. Anal. 10 (2016), no. 2, 223--234. doi:10.1215/17358787-3492545. https://projecteuclid.org/euclid.bjma/1456246277