An Extreme Point of Orlicz Spaces Equipped with Φ-Amemiya Norm
In Orlicz space，the formula of computation of a new norm that we call Φ-Amemiya norm is given． In this paper，we disscuss the conditions of norm attainability of the Orlicz space equipped with Φ-Amemiya norm， and the criterion of an extreme point is studied． Based on this，the conditions under which t...
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Harbin University of Science and Technology Publications
2021-04-01
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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=1954 |
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| author | CUI Yun-an AN Li-li |
| author_facet | CUI Yun-an AN Li-li |
| author_sort | CUI Yun-an |
| collection | DOAJ |
| description | In Orlicz space，the formula of computation of a new norm that we call Φ-Amemiya norm is given． In this paper，we disscuss the conditions of norm attainability of the Orlicz space equipped with Φ-Amemiya norm， and the criterion of an extreme point is studied． Based on this，the conditions under which the norm of the Orlicz space with the Φ-Amemiya norm can be reached are discussed． The necessary and sufficient conditions for the strictly convex Orlicz space of the Φ-Amemiya norm are reached． |
| format | Article |
| id | doaj-art-1851d848279944ed90ec84cbc50d268e |
| institution | DOAJ |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2021-04-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-1851d848279944ed90ec84cbc50d268e2025-08-20T02:57:08ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832021-04-01260214915310.15938/j.jhust.2021.02.020An Extreme Point of Orlicz Spaces Equipped with Φ-Amemiya NormCUI Yun-an0AN Li-li1College of Science，Harbin University of Science and Technology，Harbin 150080，ChinaCollege of Science，Harbin University of Science and Technology，Harbin 150080，ChinaIn Orlicz space，the formula of computation of a new norm that we call Φ-Amemiya norm is given． In this paper，we disscuss the conditions of norm attainability of the Orlicz space equipped with Φ-Amemiya norm， and the criterion of an extreme point is studied． Based on this，the conditions under which the norm of the Orlicz space with the Φ-Amemiya norm can be reached are discussed． The necessary and sufficient conditions for the strictly convex Orlicz space of the Φ-Amemiya norm are reached．https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1954φ-amemiya normorlicz spacenorm attainabilityextreme pointstrictly convex |
| spellingShingle | CUI Yun-an AN Li-li An Extreme Point of Orlicz Spaces Equipped with Φ-Amemiya Norm Journal of Harbin University of Science and Technology φ-amemiya norm orlicz space norm attainability extreme point strictly convex |
| title | An Extreme Point of Orlicz Spaces Equipped with Φ-Amemiya Norm |
| title_full | An Extreme Point of Orlicz Spaces Equipped with Φ-Amemiya Norm |
| title_fullStr | An Extreme Point of Orlicz Spaces Equipped with Φ-Amemiya Norm |
| title_full_unstemmed | An Extreme Point of Orlicz Spaces Equipped with Φ-Amemiya Norm |
| title_short | An Extreme Point of Orlicz Spaces Equipped with Φ-Amemiya Norm |
| title_sort | extreme point of orlicz spaces equipped with φ amemiya norm |
| topic | φ-amemiya norm orlicz space norm attainability extreme point strictly convex |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1954 |
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