Arens regularity of certain class of Banach algebras (Q554930)
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scientific article; zbMATH DE number 5930771
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Arens regularity of certain class of Banach algebras |
scientific article; zbMATH DE number 5930771 |
Statements
Arens regularity of certain class of Banach algebras (English)
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22 July 2011
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Summary: We study Arens regularity of the left and right module actions of \(A\) on \(A^{(n)}\), where \(A^{(n)}\) is the \(n\)-th dual space of a Banach algebra \(A\). Then, we investigate (quotient) Arens regularity of \(U = A \oplus A^{(n)}\) as a module extension of Banach algebras.
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Arens regularity
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module actions
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