A New Class of Banach Spaces and Its Relation with Some Geometric Properties of Banach Spaces
By introducing the concept of L-limited sets and then L-limited Banach spaces, we obtain some characterizations of it with respect to some well-known geometric properties of Banach spaces, such as Grothendieck property, Gelfand-Phillips property, and reciprocal Dunford-Pettis property. Some compleme...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/212957 |
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| author | M. Salimi S. M. Moshtaghioun |
| author_facet | M. Salimi S. M. Moshtaghioun |
| author_sort | M. Salimi |
| collection | DOAJ |
| description | By introducing the concept of L-limited sets and then L-limited Banach spaces, we obtain some characterizations of it with respect to some well-known geometric properties of Banach spaces, such as Grothendieck property, Gelfand-Phillips property, and reciprocal Dunford-Pettis property. Some complementability of operators on such Banach spaces are also investigated. |
| format | Article |
| id | doaj-art-d77adbdc937c4bdd8c69177b7558d900 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d77adbdc937c4bdd8c69177b7558d9002025-02-03T06:01:43ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/212957212957A New Class of Banach Spaces and Its Relation with Some Geometric Properties of Banach SpacesM. Salimi0S. M. Moshtaghioun1Department of Mathematics, Yazd University, Yazd 89195-741, IranDepartment of Mathematics, Yazd University, Yazd 89195-741, IranBy introducing the concept of L-limited sets and then L-limited Banach spaces, we obtain some characterizations of it with respect to some well-known geometric properties of Banach spaces, such as Grothendieck property, Gelfand-Phillips property, and reciprocal Dunford-Pettis property. Some complementability of operators on such Banach spaces are also investigated.http://dx.doi.org/10.1155/2012/212957 |
| spellingShingle | M. Salimi S. M. Moshtaghioun A New Class of Banach Spaces and Its Relation with Some Geometric Properties of Banach Spaces Abstract and Applied Analysis |
| title | A New Class of Banach Spaces and Its Relation with Some Geometric Properties of Banach Spaces |
| title_full | A New Class of Banach Spaces and Its Relation with Some Geometric Properties of Banach Spaces |
| title_fullStr | A New Class of Banach Spaces and Its Relation with Some Geometric Properties of Banach Spaces |
| title_full_unstemmed | A New Class of Banach Spaces and Its Relation with Some Geometric Properties of Banach Spaces |
| title_short | A New Class of Banach Spaces and Its Relation with Some Geometric Properties of Banach Spaces |
| title_sort | new class of banach spaces and its relation with some geometric properties of banach spaces |
| url | http://dx.doi.org/10.1155/2012/212957 |
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