Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm
The problem of packing spheres in Orlicz sequence space lΦ,p equipped with the p-Amemiya norm is studied, and a geometric characteristic about the reflexivity of lΦ,p is obtained, which contains the relevant work about lp (p>1) and classical Orlicz spaces lΦ discussed by Rankin, Burlak, and Clea...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/626491 |
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| _version_ | 1832551522628534272 |
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| author | Xin He Jijie Yu Yunan Cui Xin Huo |
| author_facet | Xin He Jijie Yu Yunan Cui Xin Huo |
| author_sort | Xin He |
| collection | DOAJ |
| description | The problem of packing spheres in Orlicz sequence space lΦ,p equipped with the p-Amemiya norm is studied, and a geometric characteristic about the reflexivity of lΦ,p is obtained, which contains the relevant work about lp (p>1) and classical Orlicz spaces lΦ discussed by Rankin, Burlak, and Cleaver. Moreover the packing constant as well as Kottman constant in this kind of spaces is calculated. |
| format | Article |
| id | doaj-art-35798524498340498499f8ac0883d3b7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-35798524498340498499f8ac0883d3b72025-02-03T06:01:13ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/626491626491Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya NormXin He0Jijie Yu1Yunan Cui2Xin Huo3Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Electric Power Vocational Technology College, Harbin 150001, ChinaDepartment of Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaControl and Simulation Center, Harbin Institute of Technology, Harbin 150080, ChinaThe problem of packing spheres in Orlicz sequence space lΦ,p equipped with the p-Amemiya norm is studied, and a geometric characteristic about the reflexivity of lΦ,p is obtained, which contains the relevant work about lp (p>1) and classical Orlicz spaces lΦ discussed by Rankin, Burlak, and Cleaver. Moreover the packing constant as well as Kottman constant in this kind of spaces is calculated.http://dx.doi.org/10.1155/2014/626491 |
| spellingShingle | Xin He Jijie Yu Yunan Cui Xin Huo Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm Abstract and Applied Analysis |
| title | Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm |
| title_full | Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm |
| title_fullStr | Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm |
| title_full_unstemmed | Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm |
| title_short | Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm |
| title_sort | packing constant in orlicz sequence spaces equipped with the p amemiya norm |
| url | http://dx.doi.org/10.1155/2014/626491 |
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