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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/680952 |
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| _version_ | 1832562007514021888 |
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| author | Abbas Sahleh Abbas Zivari-Kazempour |
| author_facet | Abbas Sahleh Abbas Zivari-Kazempour |
| author_sort | Abbas Sahleh |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-cdc1e10e1ef8464aa0670adeba07eb89 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cdc1e10e1ef8464aa0670adeba07eb892025-02-03T01:23:43ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/680952680952Arens Regularity of Certain Class of Banach AlgebrasAbbas Sahleh0Abbas Zivari-Kazempour1Department of Mathematics, University of Guilan, P.O. Box 1914, Rasht, IranDepartment of Mathematics, University of Guilan, P.O. Box 1914, Rasht, IranWe 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.http://dx.doi.org/10.1155/2011/680952 |
| spellingShingle | Abbas Sahleh Abbas Zivari-Kazempour Arens Regularity of Certain Class of Banach Algebras Abstract and Applied Analysis |
| title | Arens Regularity of Certain Class of Banach Algebras |
| title_full | Arens Regularity of Certain Class of Banach Algebras |
| title_fullStr | Arens Regularity of Certain Class of Banach Algebras |
| title_full_unstemmed | Arens Regularity of Certain Class of Banach Algebras |
| title_short | Arens Regularity of Certain Class of Banach Algebras |
| title_sort | arens regularity of certain class of banach algebras |
| url | http://dx.doi.org/10.1155/2011/680952 |
| work_keys_str_mv | AT abbassahleh arensregularityofcertainclassofbanachalgebras AT abbaszivarikazempour arensregularityofcertainclassofbanachalgebras |