Property ( k) of Orlicz Sequence Spaces
Property ( k) is an important geometric property in Banach spaces，and it is closely associated with fixed point property． By the geometric theory of Banach spaces and Orlicz spaces， we investigated the characterization for property( k) in a special class of Banach spaces-Orlicz sequence spaces． Cr...
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2017-12-01
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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=1466 |
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| _version_ | 1849222385218093056 |
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| author | ZUO Ming-xia PENG Li-na |
| author_facet | ZUO Ming-xia PENG Li-na |
| author_sort | ZUO Ming-xia |
| collection | DOAJ |
| description | Property ( k) is an important geometric property in Banach spaces，and it is closely associated with
fixed point property． By the geometric theory of Banach spaces and Orlicz spaces， we investigated the
characterization for property( k) in a special class of Banach spaces-Orlicz sequence spaces． Criteria for property
( k) in Orlicz sequence spaces equipped with both the Luxemburg norm and the Orlicz norm are given． As a
corollary，the sufficient condition that this kind of spaces has weak fixed point property is obtained． |
| format | Article |
| id | doaj-art-a1fa6052efa54f58b3b9296b16c80e05 |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2017-12-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-a1fa6052efa54f58b3b9296b16c80e052025-08-26T06:09:23ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832017-12-01220612212610.15938/j.jhust.2017.06.023Property ( k) of Orlicz Sequence SpacesZUO Ming-xia0PENG Li-na1School of Applied Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaSchool of Applied Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaProperty ( k) is an important geometric property in Banach spaces，and it is closely associated with fixed point property． By the geometric theory of Banach spaces and Orlicz spaces， we investigated the characterization for property( k) in a special class of Banach spaces-Orlicz sequence spaces． Criteria for property ( k) in Orlicz sequence spaces equipped with both the Luxemburg norm and the Orlicz norm are given． As a corollary，the sufficient condition that this kind of spaces has weak fixed point property is obtained．https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1466orlicz sequence spaceluxemburg normorlicz normproperty ( k) |
| spellingShingle | ZUO Ming-xia PENG Li-na Property ( k) of Orlicz Sequence Spaces Journal of Harbin University of Science and Technology orlicz sequence space luxemburg norm orlicz norm property ( k) |
| title | Property ( k) of Orlicz Sequence Spaces |
| title_full | Property ( k) of Orlicz Sequence Spaces |
| title_fullStr | Property ( k) of Orlicz Sequence Spaces |
| title_full_unstemmed | Property ( k) of Orlicz Sequence Spaces |
| title_short | Property ( k) of Orlicz Sequence Spaces |
| title_sort | property k of orlicz sequence spaces |
| topic | orlicz sequence space luxemburg norm orlicz norm property ( k) |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1466 |
| work_keys_str_mv | AT zuomingxia propertykoforliczsequencespaces AT penglina propertykoforliczsequencespaces |