strictly convex space


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strictly convex space

[¦strik·lē ¦kän‚veks ′spās]
(mathematics)
A normal linear space such that, for any two vectors x and y, if │ x + y │ = │ x │ + │ y │, then either y = 0 or x = cy, where c is a number. Also known as rotund space.
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1]-sum of strictly convex spaces, and got the affirmative answer of the isometric extension problem.