PROPER LIE MAPS THROUGH ORTHOGONALITY

AuthorsAmir Hossein Mokhtari
Conference Titleپنجاه و پنجمین کنفرانس ریاضی ایران
Holding Date of Conference2024-08-14
Event Placeمشهد
Page number0-0
PresentationSPEECH
Conference LevelInternal Conferences

Abstract

‎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.

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tags: Lie centralizer, commutant preserver, double commutant preserver, generalized matrix algebra.