Smooth Points of Orlicz Function Spaces Equipped with S-norm
Smooth points are important concepts in Banach space geometry theory, which have important applications in estimation theory, probability theory and other fields. In this paper, firstly the dual norm of Orlicz space endowed with s-norm is introduced by convex model and then the norm attainability of...
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2024-04-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2323 |
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| _version_ | 1849320743276380160 |
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| author | XU Hao WANG Junming |
| author_facet | XU Hao WANG Junming |
| author_sort | XU Hao |
| collection | DOAJ |
| description | Smooth points are important concepts in Banach space geometry theory, which have important applications in estimation theory, probability theory and other fields. In this paper, firstly the dual norm of Orlicz space endowed with s-norm is introduced by convex model and then the norm attainability of dual norm is discussed. On this basis, the explicit form of support functional for Orlicz space endowed with s-norm is given. Finally, a criterion for smooth points in Orlicz space endowed with s-norm is presented. |
| format | Article |
| id | doaj-art-5f47bf1a8c7a40329fa96e4067bb3ca3 |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2024-04-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-5f47bf1a8c7a40329fa96e4067bb3ca32025-08-20T03:49:59ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832024-04-01290214715210.15938/j.jhust.2024.02.018Smooth Points of Orlicz Function Spaces Equipped with S-normXU Hao0WANG Junming1School of Science, Harbin University of Science and Technology, Harbin 150080 ,ChinaSchool of Science, Harbin University of Science and Technology, Harbin 150080 ,ChinaSmooth points are important concepts in Banach space geometry theory, which have important applications in estimation theory, probability theory and other fields. In this paper, firstly the dual norm of Orlicz space endowed with s-norm is introduced by convex model and then the norm attainability of dual norm is discussed. On this basis, the explicit form of support functional for Orlicz space endowed with s-norm is given. Finally, a criterion for smooth points in Orlicz space endowed with s-norm is presented.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2323orlicz function spaces-normsupport functionalsmooth points |
| spellingShingle | XU Hao WANG Junming Smooth Points of Orlicz Function Spaces Equipped with S-norm Journal of Harbin University of Science and Technology orlicz function space s-norm support functional smooth points |
| title | Smooth Points of Orlicz Function Spaces Equipped with S-norm |
| title_full | Smooth Points of Orlicz Function Spaces Equipped with S-norm |
| title_fullStr | Smooth Points of Orlicz Function Spaces Equipped with S-norm |
| title_full_unstemmed | Smooth Points of Orlicz Function Spaces Equipped with S-norm |
| title_short | Smooth Points of Orlicz Function Spaces Equipped with S-norm |
| title_sort | smooth points of orlicz function spaces equipped with s norm |
| topic | orlicz function space s-norm support functional smooth points |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2323 |
| work_keys_str_mv | AT xuhao smoothpointsoforliczfunctionspacesequippedwithsnorm AT wangjunming smoothpointsoforliczfunctionspacesequippedwithsnorm |