\(p\)-uniform convexity and \(q\)-uniform smoothness of absolute normalized norms on \(\mathbb C^2\) (Q1724881)
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scientific article; zbMATH DE number 7023006
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(p\)-uniform convexity and \(q\)-uniform smoothness of absolute normalized norms on \(\mathbb C^2\) |
scientific article; zbMATH DE number 7023006 |
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\(p\)-uniform convexity and \(q\)-uniform smoothness of absolute normalized norms on \(\mathbb C^2\) (English)
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14 February 2019
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Summary: We first prove characterizations of \(p\)-uniform convexity and \(q\)-uniform smoothness. We next give a formulation on absolute normalized norms on \(\mathbb C^2\). 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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\(p\)-uniform convexity
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\(q\)-uniform smoothness
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