Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm
The complex convexity of Musielak-Orlicz function spaces equipped with the p-Amemiya norm is mainly discussed. It is obtained that, for any Musielak-Orlicz function space equipped with the p-Amemiya norm when 1≤p<∞, complex strongly extreme points of the unit ball coincide with complex extreme p...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/190203 |
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| author | Lili Chen Yunan Cui Yanfeng Zhao |
| author_facet | Lili Chen Yunan Cui Yanfeng Zhao |
| author_sort | Lili Chen |
| collection | DOAJ |
| description | The complex convexity of Musielak-Orlicz function spaces equipped with the p-Amemiya norm is mainly discussed. It is obtained that, for any Musielak-Orlicz function space equipped with the p-Amemiya norm when 1≤p<∞, complex strongly extreme points of the unit ball coincide with complex extreme points of the unit ball. Moreover, criteria for them in above spaces are given. Criteria for complex strict convexity and complex midpoint locally uniform convexity of above spaces are also deduced. |
| format | Article |
| id | doaj-art-859a4bae2e6c429391e0a2f69e4900d2 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-859a4bae2e6c429391e0a2f69e4900d22025-02-03T01:12:10ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/190203190203Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya NormLili Chen0Yunan Cui1Yanfeng Zhao2Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaThe complex convexity of Musielak-Orlicz function spaces equipped with the p-Amemiya norm is mainly discussed. It is obtained that, for any Musielak-Orlicz function space equipped with the p-Amemiya norm when 1≤p<∞, complex strongly extreme points of the unit ball coincide with complex extreme points of the unit ball. Moreover, criteria for them in above spaces are given. Criteria for complex strict convexity and complex midpoint locally uniform convexity of above spaces are also deduced.http://dx.doi.org/10.1155/2014/190203 |
| spellingShingle | Lili Chen Yunan Cui Yanfeng Zhao Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm Abstract and Applied Analysis |
| title | Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm |
| title_full | Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm |
| title_fullStr | Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm |
| title_full_unstemmed | Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm |
| title_short | Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm |
| title_sort | complex convexity of musielak orlicz function spaces equipped with the p amemiya norm |
| url | http://dx.doi.org/10.1155/2014/190203 |
| work_keys_str_mv | AT lilichen complexconvexityofmusielakorliczfunctionspacesequippedwiththepamemiyanorm AT yunancui complexconvexityofmusielakorliczfunctionspacesequippedwiththepamemiyanorm AT yanfengzhao complexconvexityofmusielakorliczfunctionspacesequippedwiththepamemiyanorm |