Center and Quasi Center on Banach Normal Hyperalgebra
Authors:
Article info
2021-08-26
2021-12-28
75 - 90
Keywords
- quasi-center
- Banach hyperalgbera
- center
- normal hyperalgebra
- Hahn Banach Theorem
Abstract
In this paper, we prove that every strongly distributive hyperalgebra is normal. Also, we prove that if X is a normed normal hyperalgebra with a propertyza◦x.zb◦y = zab◦xy and |λ| > ‖x‖, then (zλ◦e − x) is invertible. Moreover, we give a characterization of the center of a unital complex Banach normal hyperalgebra with the same property. Finally, we define the quasi-center, σ-quasi center and ρ-quasi center of Banach normal hyperalgebra as a generalization of the center and study some basic properties and relations between them.Center and Quasi Center on Banach Normal Hyperalgebra
المؤلفون:
معلومات المقال
2021-08-26
2021-12-28
75 - 90
الكلمات الإفتتاحية
- quasi-center
- Banach hyperalgbera
- center
- normal hyperalgebra
- Hahn Banach Theorem
الملخص
In this paper, we prove that every strongly distributive hyperalgebra is normal. Also, we prove that if X is a normed normal hyperalgebra with a propertyza◦x.zb◦y = zab◦xy and |λ| > ‖x‖, then (zλ◦e − x) is invertible. Moreover, we give a characterization of the center of a unital complex Banach normal hyperalgebra with the same property. Finally, we define the quasi-center, σ-quasi center and ρ-quasi center of Banach normal hyperalgebra as a generalization of the center and study some basic properties and relations between them.
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