uniformly convex space

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uniformly convex space [¦yü·nə‚fȯrm·lē ¦kän‚veks ′spās]

(mathematics)

A normed vector space such that for any number ε > 0 there is a number δ > 0 such that, for any two vectorsxandy, if │x│ ≤ 1 + δ, │y│ ≤ 1 + δ, and │x+y│ > 2, then │x-y│ < ε. Also known as uniformly rotund space.

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