On P- and p-Convexity of Banach Spaces
We show that every U-space and every Banach space X satisfying δX(1)>0 are P(3)-convex, and we study the nonuniform version of P-convexity, which we call p-convexity.
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/102462 |
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| _version_ | 1832564390119866368 |
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| author | Omar Muñiz-Pérez |
| author_facet | Omar Muñiz-Pérez |
| author_sort | Omar Muñiz-Pérez |
| collection | DOAJ |
| description | We show that every U-space and every Banach space X satisfying δX(1)>0 are P(3)-convex, and we study the nonuniform version of P-convexity, which we call p-convexity. |
| format | Article |
| id | doaj-art-2140bfe07ac5445ab2b7e74408dd09f7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2140bfe07ac5445ab2b7e74408dd09f72025-02-03T01:11:06ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/102462102462On P- and p-Convexity of Banach SpacesOmar Muñiz-Pérez0Department of Mathematics, Center for Mathematical Reserch, A.C., Apdo. Postal 402, 36000 Guanajuato, GTO, MexicoWe show that every U-space and every Banach space X satisfying δX(1)>0 are P(3)-convex, and we study the nonuniform version of P-convexity, which we call p-convexity.http://dx.doi.org/10.1155/2010/102462 |
| spellingShingle | Omar Muñiz-Pérez On P- and p-Convexity of Banach Spaces Abstract and Applied Analysis |
| title | On P- and p-Convexity of Banach Spaces |
| title_full | On P- and p-Convexity of Banach Spaces |
| title_fullStr | On P- and p-Convexity of Banach Spaces |
| title_full_unstemmed | On P- and p-Convexity of Banach Spaces |
| title_short | On P- and p-Convexity of Banach Spaces |
| title_sort | on p and p convexity of banach spaces |
| url | http://dx.doi.org/10.1155/2010/102462 |
| work_keys_str_mv | AT omarmunizperez onpandpconvexityofbanachspaces |