Abstract
The present article is a continuation of our former work (Xiao and Wei (2010) [35]) to some extent. Motivated by Brešar’s and Cheung’s wonderful ideas, we will study semi-centralizing maps of generalized matrix algebras and describe its general form by routine and complicated computations. Skew-commuting maps and semi-centralizing maps of generalized matrix algebras are specially considered. We prove that any skew-commuting map on a class of generalized matrix algebras is zero and that any semi-centralizing derivation on a generalized matrix algebra is zero. These results not only give new perspectives to the work of Brešar (2004) [6] but also extend the main results of Cheung (2001) [13]. A number of applications related to semi-centralizing maps are given.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.