The characteristic of convexity of a Banach space and normal structure |
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| Authors: | Satit Saejung |
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| Affiliation: | Department of Mathematics, Khon Kaen University, Khon Kaen 40002, Thailand |
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| Abstract: | We present some sufficient conditions for normal structure of Banach spaces and their dual spaces in terms of the characteristic of convexity, the James constant, and the coefficient of weak orthogonality. Many known results are improved and strengthened. We also show that some of our results are sharp. |
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| Keywords: | Uniform normal structure Ultrapower Characteristic of convexity James constant Coefficient of weak orthogonality |
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