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On right (left) θ-centralizers on Banach algebras | ||
Journal of Hyperstructures | ||
دوره 12، شماره 1، 2023، صفحه 134-141 اصل مقاله (263.5 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22098/jhs.2023.2517 | ||
نویسندگان | ||
Ghazal Moradkhani* ؛ Neda Ghoreishi | ||
Department of Mathematics, Faculty of Science, University of Kurdistan, P.O. Box 416, Sanandaj, Kurdistan, Iran. | ||
چکیده | ||
Let A be a Banach algebra with unity 1, and θ : A → A be an continuous automorphism. In this paper we characterize a continuous linear map T : A → A which satisfies one of the following conditions: a, b ∈ A, ab = w =⇒ θ(a)T(b) = T(w), a, b ∈ A, ab = w =⇒ T(a)θ(b) = T(w), or a, b ∈ A, ab = w =⇒ θ(a)T(b) = T(a)θ(b) = T(w) , where w ≠ 0 is a left (right) separating point of A. | ||
کلیدواژهها | ||
Left θ-centralizer؛ right θ-centralizer؛ θ-centralizer؛ Banach algebra | ||
مراجع | ||
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