Lw∗wc and Rw∗wc and weak amenability of banach algebras
We introduce some new concepts as lef t − weak∗ − weak convergence property [Lw∗wc−property] and right−weak∗− weak convergence property [Rw∗wc−property] for Banach algebra A. Suppose that A ∗ and A ∗∗, respectively, have Rw∗wc−property and Lw∗wc−property, then if A ∗∗ is weakly amenable, it follows...
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University of Mohaghegh Ardabili
2012-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2548_fa8ed25521d04fb42f92af395137d412.pdf |
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| author | K. Haghnejad Azar Z. Ranjbar |
| author_facet | K. Haghnejad Azar Z. Ranjbar |
| author_sort | K. Haghnejad Azar |
| collection | DOAJ |
| description | We introduce some new concepts as lef t − weak∗ − weak convergence property [Lw∗wc−property] and right−weak∗− weak convergence property [Rw∗wc−property] for Banach algebra A. Suppose that A ∗ and A ∗∗, respectively, have Rw∗wc−property and Lw∗wc−property, then if A ∗∗ is weakly amenable, it follows that A is weakly amenable. Let D : A → A ∗ be a surjective derivation. If D 00 is a derivation, then A is Arens regular. |
| format | Article |
| id | doaj-art-181527cf45974b6da0f5823d50e18ec3 |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2012-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-181527cf45974b6da0f5823d50e18ec32025-08-20T03:28:49ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662012-12-0112617010.22098/jhs.2012.25482548Lw∗wc and Rw∗wc and weak amenability of banach algebrasK. Haghnejad Azar0Z. Ranjbar1Department of Mathematics and Applications, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, P.O. Box 56199-11367, Ardabil, Iran.Department of Mathematics and Applications, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, P.O. Box 56199-11367, Ardabil, Iran.We introduce some new concepts as lef t − weak∗ − weak convergence property [Lw∗wc−property] and right−weak∗− weak convergence property [Rw∗wc−property] for Banach algebra A. Suppose that A ∗ and A ∗∗, respectively, have Rw∗wc−property and Lw∗wc−property, then if A ∗∗ is weakly amenable, it follows that A is weakly amenable. Let D : A → A ∗ be a surjective derivation. If D 00 is a derivation, then A is Arens regular.https://jhs.uma.ac.ir/article_2548_fa8ed25521d04fb42f92af395137d412.pdfamenabilityweak amenabilityderivationarens regularitytopological centersmodule actionslef t − weak∗ − to − weak convergence |
| spellingShingle | K. Haghnejad Azar Z. Ranjbar Lw∗wc and Rw∗wc and weak amenability of banach algebras Journal of Hyperstructures amenability weak amenability derivation arens regularity topological centers module actions lef t − weak∗ − to − weak convergence |
| title | Lw∗wc and Rw∗wc and weak amenability of banach algebras |
| title_full | Lw∗wc and Rw∗wc and weak amenability of banach algebras |
| title_fullStr | Lw∗wc and Rw∗wc and weak amenability of banach algebras |
| title_full_unstemmed | Lw∗wc and Rw∗wc and weak amenability of banach algebras |
| title_short | Lw∗wc and Rw∗wc and weak amenability of banach algebras |
| title_sort | lw∗wc and rw∗wc and weak amenability of banach algebras |
| topic | amenability weak amenability derivation arens regularity topological centers module actions lef t − weak∗ − to − weak convergence |
| url | https://jhs.uma.ac.ir/article_2548_fa8ed25521d04fb42f92af395137d412.pdf |
| work_keys_str_mv | AT khaghnejadazar lwwcandrwwcandweakamenabilityofbanachalgebras AT zranjbar lwwcandrwwcandweakamenabilityofbanachalgebras |