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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/212957 |
| id |
doaj-d77adbdc937c4bdd8c69177b7558d900 |
|---|---|
| record_format |
Article |
| spelling |
doaj-d77adbdc937c4bdd8c69177b7558d9002020-11-24T22:31:14ZengHindawi LimitedAbstract 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. Salimi S. M. Moshtaghioun |
| 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 |
| author_facet |
M. Salimi S. M. Moshtaghioun |
| author_sort |
M. Salimi |
| title |
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_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_sort |
new class of banach spaces and its relation with some geometric properties of banach spaces |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2012-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2012/212957 |
| work_keys_str_mv |
AT msalimi anewclassofbanachspacesanditsrelationwithsomegeometricpropertiesofbanachspaces AT smmoshtaghioun anewclassofbanachspacesanditsrelationwithsomegeometricpropertiesofbanachspaces AT msalimi newclassofbanachspacesanditsrelationwithsomegeometricpropertiesofbanachspaces AT smmoshtaghioun newclassofbanachspacesanditsrelationwithsomegeometricpropertiesofbanachspaces |
| _version_ |
1725738161907171328 |