Kadec-klee Property in Musielak-Orlicz of Sequence Space Equipped with p-Amemiya Norm
As we known, H property is a imp01tant property in theory of Banach spaces. It closly connects with the approximation compactness and fixed point prope1ty of nonexpansive mapping. ln this paper, we give necessai-y and sufficient conditions for a point in a Musielak-Orlicz sequence spaces equipped wi...
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Harbin University of Science and Technology Publications
2021-10-01
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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=2027 |
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| author | ZHAO Li CUI Yun-an |
| author_facet | ZHAO Li CUI Yun-an |
| author_sort | ZHAO Li |
| collection | DOAJ |
| description | As we known, H property is a imp01tant property in theory of Banach spaces. It closly connects with the approximation compactness and fixed point prope1ty of nonexpansive mapping. ln this paper, we give necessai-y and sufficient conditions for a point in a Musielak-Orlicz sequence spaces equipped with p-Amemiya norm to be an H-point. we give necessary and sufficient conditions for a Musielak-Orlicz sequence spaces equipped with p-Amemiya norm to have the Kadec-Klee prope1ty, the uniform Kadec- Klee prope1ty and to be nearly uniformly convex. |
| format | Article |
| id | doaj-art-8d342f16ac1a49b79546fd78b384252a |
| institution | DOAJ |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2021-10-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-8d342f16ac1a49b79546fd78b384252a2025-08-20T03:20:40ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832021-10-01260515716410.15938/j.jhust.2021.05.020Kadec-klee Property in Musielak-Orlicz of Sequence Space Equipped with p-Amemiya Norm ZHAO Li0CUI Yun-an 1School of Applied Sciences, Harbin University of Science and Technology, Harbin 150080, ChinaSchool of Applied Sciences, Harbin University of Science and Technology, Harbin 150080, ChinaAs we known, H property is a imp01tant property in theory of Banach spaces. It closly connects with the approximation compactness and fixed point prope1ty of nonexpansive mapping. ln this paper, we give necessai-y and sufficient conditions for a point in a Musielak-Orlicz sequence spaces equipped with p-Amemiya norm to be an H-point. we give necessary and sufficient conditions for a Musielak-Orlicz sequence spaces equipped with p-Amemiya norm to have the Kadec-Klee prope1ty, the uniform Kadec- Klee prope1ty and to be nearly uniformly convex.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2027musielak-orlicz sequence spacep-amemiya n01mkadec-klee propertyuniform kadec-klee propertynearly uniformly convex |
| spellingShingle | ZHAO Li CUI Yun-an Kadec-klee Property in Musielak-Orlicz of Sequence Space Equipped with p-Amemiya Norm Journal of Harbin University of Science and Technology musielak-orlicz sequence space p-amemiya n01m kadec-klee property uniform kadec-klee property nearly uniformly convex |
| title | Kadec-klee Property in Musielak-Orlicz of Sequence Space Equipped with p-Amemiya Norm |
| title_full | Kadec-klee Property in Musielak-Orlicz of Sequence Space Equipped with p-Amemiya Norm |
| title_fullStr | Kadec-klee Property in Musielak-Orlicz of Sequence Space Equipped with p-Amemiya Norm |
| title_full_unstemmed | Kadec-klee Property in Musielak-Orlicz of Sequence Space Equipped with p-Amemiya Norm |
| title_short | Kadec-klee Property in Musielak-Orlicz of Sequence Space Equipped with p-Amemiya Norm |
| title_sort | kadec klee property in musielak orlicz of sequence space equipped with p amemiya norm |
| topic | musielak-orlicz sequence space p-amemiya n01m kadec-klee property uniform kadec-klee property nearly uniformly convex |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2027 |
| work_keys_str_mv | AT zhaoli kadeckleepropertyinmusielakorliczofsequencespaceequippedwithpamemiyanorm AT cuiyunan kadeckleepropertyinmusielakorliczofsequencespaceequippedwithpamemiyanorm |