(Q847535)

English

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

uniformly rotund space

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subclass of

Banach space

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reflexive space

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strictly convex space

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defining formula

\forall 0<\epsilon \leq 2\exists \delta >0\forall x,y\in V\colon \left(\|x\|=\|y\|=1\land \|x-y\|\geq \epsilon \implies \left\|{\frac {x+y}{2}}\right\|\leq 1-\delta \right)

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

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28 October 2013

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Microsoft Academic ID

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26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

(Q847535)

uniformly convex space

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