Some Properties of lp(A,X) Spaces
We provide a representation of elements of the space lp(A,X) for a locally convex space X and 1≤p<∞ and determine its continuous dual for normed space X and 1<p<∞. In particular, we study the extension and characterization of isometries on lp(N,X) space, when X is a normed space with an unc...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/562507 |
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| _version_ | 1832564541853007872 |
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| author | Xiaohong Fu Songxiao Li |
| author_facet | Xiaohong Fu Songxiao Li |
| author_sort | Xiaohong Fu |
| collection | DOAJ |
| description | We provide a representation of elements of the space lp(A,X) for a locally convex space X and 1≤p<∞ and determine
its continuous dual for normed space X and 1<p<∞. In particular, we study the extension and characterization of isometries on lp(N,X) space, when X is a normed space with an unconditional basis and with a
symmetric norm. In addition, we give a simple proof of the main result
of G. Ding (2002). |
| format | Article |
| id | doaj-art-6e50829aa0704761a0afcd23d394ba8d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6e50829aa0704761a0afcd23d394ba8d2025-02-03T01:10:45ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/562507562507Some Properties of lp(A,X) SpacesXiaohong Fu0Songxiao Li1Department of Mathematics, JiaYing University, Meizhou, GuangDong 514015, ChinaDepartment of Mathematics, JiaYing University, Meizhou, GuangDong 514015, ChinaWe provide a representation of elements of the space lp(A,X) for a locally convex space X and 1≤p<∞ and determine its continuous dual for normed space X and 1<p<∞. In particular, we study the extension and characterization of isometries on lp(N,X) space, when X is a normed space with an unconditional basis and with a symmetric norm. In addition, we give a simple proof of the main result of G. Ding (2002).http://dx.doi.org/10.1155/2009/562507 |
| spellingShingle | Xiaohong Fu Songxiao Li Some Properties of lp(A,X) Spaces Abstract and Applied Analysis |
| title | Some Properties of lp(A,X) Spaces |
| title_full | Some Properties of lp(A,X) Spaces |
| title_fullStr | Some Properties of lp(A,X) Spaces |
| title_full_unstemmed | Some Properties of lp(A,X) Spaces |
| title_short | Some Properties of lp(A,X) Spaces |
| title_sort | some properties of lp a x spaces |
| url | http://dx.doi.org/10.1155/2009/562507 |
| work_keys_str_mv | AT xiaohongfu somepropertiesoflpaxspaces AT songxiaoli somepropertiesoflpaxspaces |