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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References in periodicals archive ?
The fixed point set of a quasinonexpansive mapping defined on a convex subset of a strictly convex space is convex.
It is well known that X is a 1-strictly convex space if and only if X is a strictly convex space.
Since X is a 3- strictly convex space, we obtain that [P.sub.N(T)]([x.sub.0]) is compact.
Orihara (55) gave an representation of the surjective isometry between the unit spheres of [l.sup.1]-sum of strictly convex spaces, and got the affirmative answer of the isometric extension problem.