PROPER LIE MAPS THROUGH ORTHOGONALITY

چکیده مقاله

‎In this paper‎, ‎the concept of generalized matrix algebras is introduced and the center of generalized matrix algebras is determined‎. ‎In the sequel‎, ‎we completely characterized linear mappings satisfying $(\blacklozenge)$ and for this kind of mapping‎, ‎necessary and sufficient conditions are given to be proper‎.