On right (left) θ-centralizers on Banach algebras
Let A be a Banach algebra with unity 1, and θ : A → A be an continuous automorphism. In this paper we characterizea 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)...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2023-06-01
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| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2517_719b404447a952b5ed85523b663df3a0.pdf |
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| Summary: | Let A be a Banach algebra with unity 1, and θ : A → A be an continuous automorphism. In this paper we characterizea 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. |
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| ISSN: | 2251-8436 2322-1666 |