Center and Quasi Center on Banach Normal Hyperalgebra
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 n...
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| Format: | Article |
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An-Najah National University
2021-12-01
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| Series: | مجلة جامعة النجاح للأبحاث العلوم الطبيعية |
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| Online Access: | https://journals.najah.edu/media/journals/full_texts/5_rr4QXWP.pdf |
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| author | ayman mizyed As'ad Y. As'ad |
| author_facet | ayman mizyed As'ad Y. As'ad |
| author_sort | ayman mizyed |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e94f34851ebe45798cab7b9f80f262f1 |
| institution | DOAJ |
| issn | 1727-2114 2311-8865 |
| language | English |
| publishDate | 2021-12-01 |
| publisher | An-Najah National University |
| record_format | Article |
| series | مجلة جامعة النجاح للأبحاث العلوم الطبيعية |
| spelling | doaj-art-e94f34851ebe45798cab7b9f80f262f12025-08-20T03:23:35ZengAn-Najah National Universityمجلة جامعة النجاح للأبحاث العلوم الطبيعية1727-21142311-88652021-12-01361759010.35552/anujr.a.36.1.2004Center and Quasi Center on Banach Normal Hyperalgebraayman mizyed0As'ad Y. As'ad1Mathematics Department, Islamic University, Gaza, PalestineMathematics Department, Islamic University, Gaza, PalestineIn 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.https://journals.najah.edu/media/journals/full_texts/5_rr4QXWP.pdfquasi-centerbanach hyperalgberacenternormal hyperalgebrahahn banach theorem |
| spellingShingle | ayman mizyed As'ad Y. As'ad Center and Quasi Center on Banach Normal Hyperalgebra مجلة جامعة النجاح للأبحاث العلوم الطبيعية quasi-center banach hyperalgbera center normal hyperalgebra hahn banach theorem |
| title | Center and Quasi Center on Banach Normal Hyperalgebra |
| title_full | Center and Quasi Center on Banach Normal Hyperalgebra |
| title_fullStr | Center and Quasi Center on Banach Normal Hyperalgebra |
| title_full_unstemmed | Center and Quasi Center on Banach Normal Hyperalgebra |
| title_short | Center and Quasi Center on Banach Normal Hyperalgebra |
| title_sort | center and quasi center on banach normal hyperalgebra |
| topic | quasi-center banach hyperalgbera center normal hyperalgebra hahn banach theorem |
| url | https://journals.najah.edu/media/journals/full_texts/5_rr4QXWP.pdf |
| work_keys_str_mv | AT aymanmizyed centerandquasicenteronbanachnormalhyperalgebra AT asadyasad centerandquasicenteronbanachnormalhyperalgebra |