uniformly convex space
reflexive Banach space such that the center of a line segment inside the unit ball must lie deep inside the unit ball unless the segment is short
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uniformly convex space
Summary
uniformly convex space ranks in the top 2% of general entities by monthly Wikipedia readership (18 views/month).[1]
Key Facts
- uniformly convex space's subclass of is recorded as Banach space[2].
- uniformly convex space's subclass of is recorded as reflexive space[3].
- uniformly convex space's subclass of is recorded as strictly convex space[4].
- uniformly convex space's Freebase ID is recorded as /m/027yxvv[5].
- uniformly convex space's defining formula is recorded as \forall 0<\epsilon\le2\exists\delta>0\forall x,y\in V\colon\left(|x|=|y|=1\land|x-y|\ge\epsilon\implies\left|\frac{x+y}{2}\right|\le1-\delta\right)<sup id="cite-C5" class="cite-ref" title="uniformly convex space — defining formula (P2534): \forall 0<\epsilon\le2\exists\delta>0\forall x,y\in V\colon\left(|x|=|y|=1\land|x-y|\ge\epsilon\implies\left|\frac{x+y}{2}\right|\le1-\delta\">[6].
- uniformly convex space's MathWorld ID is recorded as UniformlyConvex[7].
- uniformly convex space's maintained by WikiProject is recorded as WikiProject Mathematics[8].
- uniformly convex space's Microsoft Academic ID is recorded as 123413131[9].
- uniformly convex space's OpenAlex ID is recorded as C123413131[10].
Why It Matters
uniformly convex space ranks in the top 2% of general entities by monthly Wikipedia readership (18 views/month).[1] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[11] It is known by 3 alternative names across languages and contexts.[12]