An-Najah University Journal for Research - A (Natural Sciences)

Center and Quasi Center on Banach Normal Hyperalgebra

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.

Recommended Citation

mizyed, ayman, & As’ad, A. Y. (2022). Center and Quasi Center on Banach Normal Hyperalgebra. An-Najah University Journal for Research - A (Natural Sciences), 36(1), 75–90. https://doi.org/10.35552/anujr.a.36.1.2004
[1] ayman mizyed and A. Y. As’ad, “Center and Quasi Center on Banach Normal Hyperalgebra,” An-Najah University Journal for Research - A (Natural Sciences), vol. 36, no. 1, pp. 75–90, Feb. 2022, doi: 10.35552/anujr.a.36.1.2004.
mizyed, ayman, and As’ad Y. As’ad. “Center and Quasi Center on Banach Normal Hyperalgebra.” An-Najah University Journal for Research - A (Natural Sciences), vol. 36, no. 1, Feb. 2022, pp. 75–90. Crossref, https://doi.org/10.35552/anujr.a.36.1.2004.
1.mizyed ayman, As’ad AY. Center and Quasi Center on Banach Normal Hyperalgebra. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2022 Feb;36(1):75–90. Available from: http://dx.doi.org/10.35552/anujr.a.36.1.2004
mizyed, ayman, and As’ad Y. As’ad. “Center and Quasi Center on Banach Normal Hyperalgebra.” An-Najah University Journal for Research - A (Natural Sciences) 36, no. 1 (February 2022): 75–90. https://doi.org/10.35552/anujr.a.36.1.2004.

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.

Recommended Citation

mizyed, ayman, & As’ad, A. Y. (2022). Center and Quasi Center on Banach Normal Hyperalgebra. An-Najah University Journal for Research - A (Natural Sciences), 36(1), 75–90. https://doi.org/10.35552/anujr.a.36.1.2004
[1] ayman mizyed and A. Y. As’ad, “Center and Quasi Center on Banach Normal Hyperalgebra,” An-Najah University Journal for Research - A (Natural Sciences), vol. 36, no. 1, pp. 75–90, Feb. 2022, doi: 10.35552/anujr.a.36.1.2004.
mizyed, ayman, and As’ad Y. As’ad. “Center and Quasi Center on Banach Normal Hyperalgebra.” An-Najah University Journal for Research - A (Natural Sciences), vol. 36, no. 1, Feb. 2022, pp. 75–90. Crossref, https://doi.org/10.35552/anujr.a.36.1.2004.
1.mizyed ayman, As’ad AY. Center and Quasi Center on Banach Normal Hyperalgebra. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2022 Feb;36(1):75–90. Available from: http://dx.doi.org/10.35552/anujr.a.36.1.2004
mizyed, ayman, and As’ad Y. As’ad. “Center and Quasi Center on Banach Normal Hyperalgebra.” An-Najah University Journal for Research - A (Natural Sciences) 36, no. 1 (February 2022): 75–90. https://doi.org/10.35552/anujr.a.36.1.2004.

An-Najah National University
Nablus, Palestine
P.O. Box
7, 707
Fax
(970)(9)2345982
Tel.
(970)(9)2345560
(970)(9)2345113/5/6/7-Ext. 2628
E-mail
[email protected]
EIC
Prof. Ismail Warad

An-Najah University Journal for Research - A (Natural Sciences) by An-Najah University, Nablus, Palestine is licensed under CC BY-NC 4.0