Arens Regularity of Certain Class of Banach Algebras
We study Arens regularity of the left and right module actions of 𝐴 on 𝐴(𝑛), where 𝐴(𝑛) is the nth dual space of a Banach algebra 𝐴, and then investigate (quotient) Arens regularity of 𝑈=𝐴⊕𝐴(𝑛) as a module extension of Banach algebras.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/680952 |