Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm
As is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with s-norm is given. We complete solved criterion-Orlicz space that generated by Orlicz function. And the suffic...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/1034286 |
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| author | Yunan Cui Yujia Zhan |
| author_facet | Yunan Cui Yujia Zhan |
| author_sort | Yunan Cui |
| collection | DOAJ |
| description | As is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with s-norm is given. We complete solved criterion-Orlicz space that generated by Orlicz function. And the sufficient and necessary conditions for middle point locally uniformly convex in Orlicz spaces equipped with s-norm are obtained. |
| format | Article |
| id | doaj-art-9bfaa2b389ca465295096be1103cc153 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-9bfaa2b389ca465295096be1103cc1532025-08-20T03:38:31ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/10342861034286Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-NormYunan Cui0Yujia Zhan1Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaAs is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with s-norm is given. We complete solved criterion-Orlicz space that generated by Orlicz function. And the sufficient and necessary conditions for middle point locally uniformly convex in Orlicz spaces equipped with s-norm are obtained.http://dx.doi.org/10.1155/2019/1034286 |
| spellingShingle | Yunan Cui Yujia Zhan Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm Journal of Function Spaces |
| title | Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm |
| title_full | Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm |
| title_fullStr | Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm |
| title_full_unstemmed | Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm |
| title_short | Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm |
| title_sort | strongly extreme points and middle point locally uniformly convex in orlicz spaces equipped with s norm |
| url | http://dx.doi.org/10.1155/2019/1034286 |
| work_keys_str_mv | AT yunancui stronglyextremepointsandmiddlepointlocallyuniformlyconvexinorliczspacesequippedwithsnorm AT yujiazhan stronglyextremepointsandmiddlepointlocallyuniformlyconvexinorliczspacesequippedwithsnorm |