uniformly nonsquare Banach space

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uniformly nonsquare Banach space [¦yü·nə‚fȯrm·lē ‚nän‚skwer ′bä‚näk ′spās]

(mathematics)

A Banach space for which there is a positive number ε such that there are no nonzero elements,xandy, that have the same norm and satisfy the inequalities │x+y│ > (2 - ε) │x│ and │x-y│ > (2 - ε) │x│.

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