uniformly convex space
(Q847535)
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
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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Current Data About
uniformly convex space
| (P279) |
(Q194397)
(Q2032198) (Q916093) |
| (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\right)
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| (P6104) |
(Q8487137)
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other details
| aliases |
uniformly rotund space |
| description | 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 |
External Links
| (P646) |
/m/027yxvv
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| (P2812) |
UniformlyConvex
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| (P6366) |
123413131
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| (P10283) |
C123413131
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