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Keywords:
uniformly convex Banach space; uniformly smooth Banach space; modulus of convexity; modulus of smoothness
uniformly convex Banach space; uniformly smooth Banach space; modulus of convexity; modulus of smoothness
Summary:
Using some moduli of convexity and smoothness we introduce a function which allows us to measure the deformation of Banach spaces. A few properties of this function are derived and its applicability in the geometric theory of Banach spaces is indicated.
References:
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