On β-dual of vector-valued sequence spaces of Maddox
The β-dual of a vector-valued sequence space is defined and studied. We show that if an X-valued sequence space E is a BK-space having AK property, then the dual space of E and its β-dual are isometrically isomorphic. We also give characterizations of β-dual of vector-valued sequence spaces of Maddo...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202012772 |
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| _version_ | 1850175297551335424 |
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| author | Suthep Suantai Winate Sanhan |
| author_facet | Suthep Suantai Winate Sanhan |
| author_sort | Suthep Suantai |
| collection | DOAJ |
| description | The β-dual of a vector-valued sequence space is defined and studied. We show that if an X-valued sequence space E is a BK-space having AK property, then the dual space of E and its β-dual are isometrically isomorphic. We also give characterizations of β-dual of vector-valued sequence spaces of Maddox ℓ(X,p), ℓ∞(X,p), c0(X,p), and c(X,p). |
| format | Article |
| id | doaj-art-cee183fd5a1f4b81a8160f6cf7bbadd2 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-cee183fd5a1f4b81a8160f6cf7bbadd22025-08-20T02:19:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0130738339210.1155/S0161171202012772On β-dual of vector-valued sequence spaces of MaddoxSuthep Suantai0Winate Sanhan1Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandThe β-dual of a vector-valued sequence space is defined and studied. We show that if an X-valued sequence space E is a BK-space having AK property, then the dual space of E and its β-dual are isometrically isomorphic. We also give characterizations of β-dual of vector-valued sequence spaces of Maddox ℓ(X,p), ℓ∞(X,p), c0(X,p), and c(X,p).http://dx.doi.org/10.1155/S0161171202012772 |
| spellingShingle | Suthep Suantai Winate Sanhan On β-dual of vector-valued sequence spaces of Maddox International Journal of Mathematics and Mathematical Sciences |
| title | On β-dual of vector-valued sequence spaces of Maddox |
| title_full | On β-dual of vector-valued sequence spaces of Maddox |
| title_fullStr | On β-dual of vector-valued sequence spaces of Maddox |
| title_full_unstemmed | On β-dual of vector-valued sequence spaces of Maddox |
| title_short | On β-dual of vector-valued sequence spaces of Maddox |
| title_sort | on β dual of vector valued sequence spaces of maddox |
| url | http://dx.doi.org/10.1155/S0161171202012772 |
| work_keys_str_mv | AT suthepsuantai onbdualofvectorvaluedsequencespacesofmaddox AT winatesanhan onbdualofvectorvaluedsequencespacesofmaddox |