The Second Duals of Beurling Algebras |
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| Author:
| Dales, H. G.
Lau, Anthony To-Ming |
| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-0-8218-3774-0 |
| Publication Date: | Aug 2005 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | AUD $115.00 |
Book Description:
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Let $A$ be a Banach algebra, with second dual space $A""$. We propose to study the space $A""$ as a Banach algebra. There are two Banach algebra products on $A""$, denoted by $\,\Box\,$ and $\,\Diamond\,$. The Banach algebra $A$ is Arens regular if the two products $\Box$ and $\Diamond$ coincide on $A""$.
Let $A$ be a Banach algebra, with second dual space $A""$. We propose to study the space $A""$ as a Banach algebra. There are two Banach algebra products on $A""$, denoted by $\,\Box\,$ and $\,\Diamond\,$. The Banach algebra $A$ is Arens regular if the two products $\Box$ and $\Diamond$ coincide on $A""$.