LW∗W-property and topological centers of banach algebras
In this paper we introduce the new concepts LW∗Wproperty and RW∗W-property for a Banach algebra A. Under certain conditions, we show that if A has LW∗W-property and RW∗W- property, then A is Arens regular. We also offer some applications of these new concepts in group algebras.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2012-06-01
|
| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2541_503af4a5dcdbbe7220bb6e2643b35d55.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850100566911352832 |
|---|---|
| author | K. Haghnejad Azar |
| author_facet | K. Haghnejad Azar |
| author_sort | K. Haghnejad Azar |
| collection | DOAJ |
| description | In this paper we introduce the new concepts LW∗Wproperty and RW∗W-property for a Banach algebra A. Under certain conditions, we show that if A has LW∗W-property and RW∗W- property, then A is Arens regular. We also offer some applications of these new concepts in group algebras. |
| format | Article |
| id | doaj-art-e2ef0480966c44cc94ff6985b49ca4e9 |
| institution | DOAJ |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2012-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-e2ef0480966c44cc94ff6985b49ca4e92025-08-20T02:40:15ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662012-06-0111637310.22098/jhs.2012.25412541LW∗W-property and topological centers of banach algebrasK. Haghnejad Azar0Department of Mathematics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, IranIn this paper we introduce the new concepts LW∗Wproperty and RW∗W-property for a Banach algebra A. Under certain conditions, we show that if A has LW∗W-property and RW∗W- property, then A is Arens regular. We also offer some applications of these new concepts in group algebras.https://jhs.uma.ac.ir/article_2541_503af4a5dcdbbe7220bb6e2643b35d55.pdfarens regularitylw∗w- propertytopological centerdual space |
| spellingShingle | K. Haghnejad Azar LW∗W-property and topological centers of banach algebras Journal of Hyperstructures arens regularity lw∗w- property topological center dual space |
| title | LW∗W-property and topological centers of banach algebras |
| title_full | LW∗W-property and topological centers of banach algebras |
| title_fullStr | LW∗W-property and topological centers of banach algebras |
| title_full_unstemmed | LW∗W-property and topological centers of banach algebras |
| title_short | LW∗W-property and topological centers of banach algebras |
| title_sort | lw∗w property and topological centers of banach algebras |
| topic | arens regularity lw∗w- property topological center dual space |
| url | https://jhs.uma.ac.ir/article_2541_503af4a5dcdbbe7220bb6e2643b35d55.pdf |
| work_keys_str_mv | AT khaghnejadazar lwwpropertyandtopologicalcentersofbanachalgebras |