Some Modulus and Normal Structure in Banach Space
<p>Abstract</p> <p>We present some sufficient conditions for which a Banach space <inline-formula> <graphic file="1029-242X-2009-676373-i1.gif"/></inline-formula> has normal structure in terms of the modulus of <inline-formula> <graphic file=&qu...
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| Language: | English |
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2009-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2009/676373 |
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doaj-7d736c60f99f4b36868bed4662221a782020-11-25T02:27:41ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091676373Some Modulus and Normal Structure in Banach SpaceZuo ZhanfeiCui Yunan<p>Abstract</p> <p>We present some sufficient conditions for which a Banach space <inline-formula> <graphic file="1029-242X-2009-676373-i1.gif"/></inline-formula> has normal structure in terms of the modulus of <inline-formula> <graphic file="1029-242X-2009-676373-i2.gif"/></inline-formula>-convexity, modulus of <inline-formula> <graphic file="1029-242X-2009-676373-i3.gif"/></inline-formula>-convexity, and the coefficient <inline-formula> <graphic file="1029-242X-2009-676373-i4.gif"/></inline-formula>, which generalized some well-known results. Furthermore the relationship between modulus of convexity, modulus of smoothness, and Gao's constant is considered, meanwhile the exact value of Milman modulus has been obtained for some Banach space.</p>http://www.journalofinequalitiesandapplications.com/content/2009/676373 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zuo Zhanfei Cui Yunan |
| spellingShingle |
Zuo Zhanfei Cui Yunan Some Modulus and Normal Structure in Banach Space Journal of Inequalities and Applications |
| author_facet |
Zuo Zhanfei Cui Yunan |
| author_sort |
Zuo Zhanfei |
| title |
Some Modulus and Normal Structure in Banach Space |
| title_short |
Some Modulus and Normal Structure in Banach Space |
| title_full |
Some Modulus and Normal Structure in Banach Space |
| title_fullStr |
Some Modulus and Normal Structure in Banach Space |
| title_full_unstemmed |
Some Modulus and Normal Structure in Banach Space |
| title_sort |
some modulus and normal structure in banach space |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2009-01-01 |
| description |
<p>Abstract</p> <p>We present some sufficient conditions for which a Banach space <inline-formula> <graphic file="1029-242X-2009-676373-i1.gif"/></inline-formula> has normal structure in terms of the modulus of <inline-formula> <graphic file="1029-242X-2009-676373-i2.gif"/></inline-formula>-convexity, modulus of <inline-formula> <graphic file="1029-242X-2009-676373-i3.gif"/></inline-formula>-convexity, and the coefficient <inline-formula> <graphic file="1029-242X-2009-676373-i4.gif"/></inline-formula>, which generalized some well-known results. Furthermore the relationship between modulus of convexity, modulus of smoothness, and Gao's constant is considered, meanwhile the exact value of Milman modulus has been obtained for some Banach space.</p> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2009/676373 |
| work_keys_str_mv |
AT zuozhanfei somemodulusandnormalstructureinbanachspace AT cuiyunan somemodulusandnormalstructureinbanachspace |
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1724841445647450112 |