On right (left) \theta-centralizers on Banach algebras
Publish place: Journal of Hyperstructures، Vol: 12، Issue: 1
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JHSMS-12-1_009
تاریخ نمایه سازی: 16 بهمن 1402
Abstract:
Let \mathcal{A} be a Banach algebra with unity ۱, and \theta:\mathcal{A}\rightarrow \mathcal{A} be an continuous automorphism. In this paper we characterize a continuous linear map T: \mathcal{A}\rightarrow \mathcal{A} which satisfies one of the following conditions:\[a,b\in \mathcal{A}, \, ab =w\Longrightarrow \theta(a)T(b)=T(w) ,\]\[ a,b \in \mathcal{A}, \, ab =w\Longrightarrow T(a)\theta(b)=T(w) ,\]or\[ a,b \in \mathcal{A}, \, ab =w\Longrightarrow \theta(a)T(b)=T(a)\theta(b)=T(w) ,\]where w\neq ۰ is a left (right) separating point of \mathcal{A}.
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Authors
GH. Moradkhani
Department of Mathematics, Faculty of Science, University of Kurdistan, P.O. Box ۴۱۶, Sanandaj, Kurdistan, Iran.
N. Ghoreishi
Department of Mathematics, Faculty of Science, University of Kurdistan, P.O. Box ۴۱۶, Sanandaj, Kurdistan, Iran.