uniformly nonsquare Banach space

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, x and y, that have the same norm and satisfy the inequalities │ x + y │ > (2 - ε) │ x │ and │ x-y │ > (2 - ε) │ x │.
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