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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2012-12-01
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| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2548_fa8ed25521d04fb42f92af395137d412.pdf |
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| Summary: | 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. |
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| ISSN: | 2251-8436 2322-1666 |