The Banach-Saks Properties in Orlicz-Lorentz Spaces
The Banach-Saks index of an Orlicz-Lorentz space Λφ,w(I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks) property if and only if it is separable (res...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/423198 |
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| _version_ | 1832565607205175296 |
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| author | Anna Kamińska Han Ju Lee |
| author_facet | Anna Kamińska Han Ju Lee |
| author_sort | Anna Kamińska |
| collection | DOAJ |
| description | The Banach-Saks index of an Orlicz-Lorentz space Λφ,w(I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks) property if and only if it is separable (resp., reflexive). |
| format | Article |
| id | doaj-art-c8fd301b1d3d41cd9a220457e9c9c5fa |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c8fd301b1d3d41cd9a220457e9c9c5fa2025-02-03T01:07:18ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/423198423198The Banach-Saks Properties in Orlicz-Lorentz SpacesAnna Kamińska0Han Ju Lee1Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152, USADepartment of Mathematics Education, Dongguk University-Seoul, Seoul 100-715, Republic of KoreaThe Banach-Saks index of an Orlicz-Lorentz space Λφ,w(I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks) property if and only if it is separable (resp., reflexive).http://dx.doi.org/10.1155/2014/423198 |
| spellingShingle | Anna Kamińska Han Ju Lee The Banach-Saks Properties in Orlicz-Lorentz Spaces Abstract and Applied Analysis |
| title | The Banach-Saks Properties in Orlicz-Lorentz Spaces |
| title_full | The Banach-Saks Properties in Orlicz-Lorentz Spaces |
| title_fullStr | The Banach-Saks Properties in Orlicz-Lorentz Spaces |
| title_full_unstemmed | The Banach-Saks Properties in Orlicz-Lorentz Spaces |
| title_short | The Banach-Saks Properties in Orlicz-Lorentz Spaces |
| title_sort | banach saks properties in orlicz lorentz spaces |
| url | http://dx.doi.org/10.1155/2014/423198 |
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