\(p\)-uniform convexity and \(q\)-uniform smoothness of absolute normalized norms on \(\mathbb C^2\)
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.
scientific article; zbMATH DE number 7023006