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Some Modulus and Normal Structure in Banach Space
Journal of Inequalities and Applications volume 2009, Article number: 676373 (2009)
We present some sufficient conditions for which a Banach space has normal structure in terms of the modulus of -convexity, modulus of -convexity, and the coefficient , 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.
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Zuo, Z., Cui, Y. Some Modulus and Normal Structure in Banach Space. J Inequal Appl 2009, 676373 (2009). https://doi.org/10.1155/2009/676373
- Banach Space
- Normal Structure
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