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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2009/676373 |
| Summary: | <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> |
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| ISSN: | 1025-5834 1029-242X |