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A Generalization of Uniformly Rotund Banach Spaces

A Generalization of Uniformly Rotund Banach Spaces

Let X be a real Banach space. According to von Neumann's famous geometrical characterization X is a Hilbert space if and only if for all x, y ∈ X Thus Hilbert space is distinguished among all real Banach spaces by a certain uniform behavior of the set of all two …