p-Uniform Convexity and q-Uniform Smoothness of Absolute Normalized Norms on ℂ2
We first prove characterizations of p-uniform convexity and q-uniform smoothness. We next give a formulation on absolute normalized norms on ℂ2. Using these, we present some examples of Banach spaces. One of them is a uniformly convex Banach space which is not p-uniformly convex.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/746309 |