Monotonicity of Orlicz Function Space-equipped with S-norm
Monotonicity is important to Banach space geometry. In this paper，the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First，we gave some basic properties of the spaces. Using these properties， we obtained the criteria for strict monotonicity and upper local uniformly monotonic...
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2021-06-01
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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=1969 |
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| _version_ | 1850038136709578752 |
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| author | WANG Jun-ming TONG Qiu-yi |
| author_facet | WANG Jun-ming TONG Qiu-yi |
| author_sort | WANG Jun-ming |
| collection | DOAJ |
| description | Monotonicity is important to Banach space geometry. In this paper，the monotonicity of Orlicz spaces
equipped with the s-norm are dicussed. First，we gave some basic properties of the spaces. Using these properties，
we obtained the criteria for strict monotonicity and upper local uniformly monotonicity in Orlicz spaces equipped
with s-norm. |
| format | Article |
| id | doaj-art-948a5ccbf728448caa1adf636b99773a |
| institution | DOAJ |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2021-06-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-948a5ccbf728448caa1adf636b99773a2025-08-20T02:56:39ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832021-06-01260314014610.15938/j.jhust.2021.03.021Monotonicity of Orlicz Function Space-equipped with S-normWANG Jun-ming0TONG Qiu-yi1Department of Applied Mathematics，Harbin University of ScienceAnd Technology，Harbin 150080，ChinaDepartment of Applied Mathematics，Harbin University of ScienceAnd Technology，Harbin 150080，ChinaMonotonicity is important to Banach space geometry. In this paper，the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First，we gave some basic properties of the spaces. Using these properties， we obtained the criteria for strict monotonicity and upper local uniformly monotonicity in Orlicz spaces equipped with s-norm.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1969s-convex functionorlicz spacesmonotonicity |
| spellingShingle | WANG Jun-ming TONG Qiu-yi Monotonicity of Orlicz Function Space-equipped with S-norm Journal of Harbin University of Science and Technology s-convex function orlicz spaces monotonicity |
| title | Monotonicity of Orlicz Function Space-equipped with S-norm |
| title_full | Monotonicity of Orlicz Function Space-equipped with S-norm |
| title_fullStr | Monotonicity of Orlicz Function Space-equipped with S-norm |
| title_full_unstemmed | Monotonicity of Orlicz Function Space-equipped with S-norm |
| title_short | Monotonicity of Orlicz Function Space-equipped with S-norm |
| title_sort | monotonicity of orlicz function space equipped with s norm |
| topic | s-convex function orlicz spaces monotonicity |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1969 |
| work_keys_str_mv | AT wangjunming monotonicityoforliczfunctionspaceequippedwithsnorm AT tongqiuyi monotonicityoforliczfunctionspaceequippedwithsnorm |