β Property in Orlicz Sequence Spaces Equipped with s-norm
Orlicz spaces equipped with s-norm is an extension of Orlicz spaces. In order to studing the H property and the property β in Orlicz space equipped with s-norm，some basic properties of the s-norm are discussed firstly. Then, based on this, Φ∈δ2which is the criteria of H property of Orlicz sequence...
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Harbin University of Science and Technology Publications
2022-06-01
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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=2106 |
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| _version_ | 1849711599418343424 |
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| author | CUI Yun-an DONG Jia-qi |
| author_facet | CUI Yun-an DONG Jia-qi |
| author_sort | CUI Yun-an |
| collection | DOAJ |
| description | Orlicz spaces equipped with s-norm is an extension of Orlicz spaces. In order to studing the H property and the property β in Orlicz space equipped with s-norm，some basic properties of the s-norm are discussed firstly. Then, based on this, Φ∈δ2which is the criteria of H property of Orlicz sequence spaces equipped with s-norm were given. In this paper, we get that the Orlicz sequence space equipped with s-norm have property β if and only if the spaces is reflexive，that is Φ∈δ2∩δ'2. |
| format | Article |
| id | doaj-art-edbbf49f50ee4fdf82c19a9733cf8374 |
| institution | DOAJ |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2022-06-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-edbbf49f50ee4fdf82c19a9733cf83742025-08-20T03:14:35ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832022-06-01270313413910.15938/j.jhust.2022.03.018β Property in Orlicz Sequence Spaces Equipped with s-normCUI Yun-an0DONG Jia-qi1School of Science, Harbin University of Science and Technology, Harbin 150080,ChinaSchool of Science, Harbin University of Science and Technology, Harbin 150080,ChinaOrlicz spaces equipped with s-norm is an extension of Orlicz spaces. In order to studing the H property and the property β in Orlicz space equipped with s-norm，some basic properties of the s-norm are discussed firstly. Then, based on this, Φ∈δ2which is the criteria of H property of Orlicz sequence spaces equipped with s-norm were given. In this paper, we get that the Orlicz sequence space equipped with s-norm have property β if and only if the spaces is reflexive，that is Φ∈δ2∩δ'2.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2106orlicz sequence spacess-normh propertyβ property |
| spellingShingle | CUI Yun-an DONG Jia-qi β Property in Orlicz Sequence Spaces Equipped with s-norm Journal of Harbin University of Science and Technology orlicz sequence spaces s-norm h property β property |
| title | β Property in Orlicz Sequence Spaces Equipped with s-norm |
| title_full | β Property in Orlicz Sequence Spaces Equipped with s-norm |
| title_fullStr | β Property in Orlicz Sequence Spaces Equipped with s-norm |
| title_full_unstemmed | β Property in Orlicz Sequence Spaces Equipped with s-norm |
| title_short | β Property in Orlicz Sequence Spaces Equipped with s-norm |
| title_sort | β property in orlicz sequence spaces equipped with s norm |
| topic | orlicz sequence spaces s-norm h property β property |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2106 |
| work_keys_str_mv | AT cuiyunan bpropertyinorliczsequencespacesequippedwithsnorm AT dongjiaqi bpropertyinorliczsequencespacesequippedwithsnorm |