p -Uniform Convexity and q-Uniform Smoothness of Absolute Normalized Norms on ℂ2

الملخص EN

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.