Comparison between Certain Equivalent Norms Regarding Some Familiar Properties Implying WFPP
In a Banach space with a basis we define a similar norm to the norm shown by Lin to make l1 into a space with FPP and make a comparative study of certain geometric properties such as the Opial property, WNS, and uniform nonsquareness of the original space and the space with the new norm.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/287145 |
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| _version_ | 1832550065493770240 |
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| author | Helga Fetter Berta Gamboa de Buen |
| author_facet | Helga Fetter Berta Gamboa de Buen |
| author_sort | Helga Fetter |
| collection | DOAJ |
| description | In a Banach space with a basis we define a similar norm to the
norm shown by Lin to make l1 into a space with FPP and make a comparative study of certain geometric properties such as the Opial property, WNS, and uniform nonsquareness of the original space and the space with the new norm. |
| format | Article |
| id | doaj-art-5bf13e52231740d59d118f284458bf4a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5bf13e52231740d59d118f284458bf4a2025-02-03T06:07:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/287145287145Comparison between Certain Equivalent Norms Regarding Some Familiar Properties Implying WFPPHelga Fetter0Berta Gamboa de Buen1Centro de Investigación en Matemáticas (CIMAT), Apartado Postal 402, 36000 Guanajuato, GTO, MexicoCentro de Investigación en Matemáticas (CIMAT), Apartado Postal 402, 36000 Guanajuato, GTO, MexicoIn a Banach space with a basis we define a similar norm to the norm shown by Lin to make l1 into a space with FPP and make a comparative study of certain geometric properties such as the Opial property, WNS, and uniform nonsquareness of the original space and the space with the new norm.http://dx.doi.org/10.1155/2011/287145 |
| spellingShingle | Helga Fetter Berta Gamboa de Buen Comparison between Certain Equivalent Norms Regarding Some Familiar Properties Implying WFPP International Journal of Mathematics and Mathematical Sciences |
| title | Comparison between Certain Equivalent Norms Regarding Some Familiar Properties Implying WFPP |
| title_full | Comparison between Certain Equivalent Norms Regarding Some Familiar Properties Implying WFPP |
| title_fullStr | Comparison between Certain Equivalent Norms Regarding Some Familiar Properties Implying WFPP |
| title_full_unstemmed | Comparison between Certain Equivalent Norms Regarding Some Familiar Properties Implying WFPP |
| title_short | Comparison between Certain Equivalent Norms Regarding Some Familiar Properties Implying WFPP |
| title_sort | comparison between certain equivalent norms regarding some familiar properties implying wfpp |
| url | http://dx.doi.org/10.1155/2011/287145 |
| work_keys_str_mv | AT helgafetter comparisonbetweencertainequivalentnormsregardingsomefamiliarpropertiesimplyingwfpp AT bertagamboadebuen comparisonbetweencertainequivalentnormsregardingsomefamiliarpropertiesimplyingwfpp |