p-Uniform Convexity andq-Uniform Smoothness of Absolute Normalized Norms onℂ2
Keyword(s):
We first prove characterizations ofp-uniform convexity andq-uniform smoothness. We next give a formulation on absolute normalized norms onℂ2. Using these, we present some examples of Banach spaces. One of them is a uniformly convex Banach space which is notp-uniformly convex.
1976 ◽
Vol 15
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pp. 87-96
2011 ◽
Vol 84
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pp. 353-361
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2000 ◽
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pp. 49-53
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1991 ◽
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pp. 611-614
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1992 ◽
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pp. 25-38