A Generalization of Uniformly Extremely Convex Banach Spaces
We discuss a new class of Banach spaces which are the generalization of uniformly extremely convex spaces introduced by Wulede and Ha. We prove that the new class of Banach spaces lies strictly between either the classes of k-uniformly rotund spaces and k-strongly convex spaces or classes of fully k...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/9161252 |
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| _version_ | 1832567210859560960 |
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| author | Suyalatu Wulede Wurichaihu Bai Wurina Bao |
| author_facet | Suyalatu Wulede Wurichaihu Bai Wurina Bao |
| author_sort | Suyalatu Wulede |
| collection | DOAJ |
| description | We discuss a new class of Banach spaces which are the generalization of uniformly extremely convex spaces introduced by Wulede and Ha. We prove that the new class of Banach spaces lies strictly between either the classes of k-uniformly rotund spaces and k-strongly convex spaces or classes of fully k-convex spaces and k-strongly convex spaces and has no inclusive relation with the class of locally k-uniformly convex spaces. We obtain in addition some characterizations and properties of this new class of Banach spaces. In particular, our results contain the main results of Wulede and Ha. |
| format | Article |
| id | doaj-art-faa7bc899e7c45b3a0d2a2463982fb9a |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-faa7bc899e7c45b3a0d2a2463982fb9a2025-02-03T01:02:13ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/91612529161252A Generalization of Uniformly Extremely Convex Banach SpacesSuyalatu Wulede0Wurichaihu Bai1Wurina Bao2College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, ChinaCollege of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, ChinaXilingol Vocational College, Xilinhot 026000, ChinaWe discuss a new class of Banach spaces which are the generalization of uniformly extremely convex spaces introduced by Wulede and Ha. We prove that the new class of Banach spaces lies strictly between either the classes of k-uniformly rotund spaces and k-strongly convex spaces or classes of fully k-convex spaces and k-strongly convex spaces and has no inclusive relation with the class of locally k-uniformly convex spaces. We obtain in addition some characterizations and properties of this new class of Banach spaces. In particular, our results contain the main results of Wulede and Ha.http://dx.doi.org/10.1155/2016/9161252 |
| spellingShingle | Suyalatu Wulede Wurichaihu Bai Wurina Bao A Generalization of Uniformly Extremely Convex Banach Spaces Journal of Function Spaces |
| title | A Generalization of Uniformly Extremely Convex Banach Spaces |
| title_full | A Generalization of Uniformly Extremely Convex Banach Spaces |
| title_fullStr | A Generalization of Uniformly Extremely Convex Banach Spaces |
| title_full_unstemmed | A Generalization of Uniformly Extremely Convex Banach Spaces |
| title_short | A Generalization of Uniformly Extremely Convex Banach Spaces |
| title_sort | generalization of uniformly extremely convex banach spaces |
| url | http://dx.doi.org/10.1155/2016/9161252 |
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