Strictly convex space
id:
strictly-convex-space-252-7450019
title:
Strictly convex space
text:
In mathematics, a strictly convex space is a normed vector space (X, || ||) for which the closed unit ball is a strictly convex set. Put another way, a strictly convex space is one for which, given any two distinct points x and y on the unit sphere ∂B (i.e. the boundary of the unit ball B of X), the segment joining x and y meets ∂B only at x and y. Strict convexity is somewhere between an inner product space (all inner product spaces being strictly convex) and a general normed space in terms of
brand slug:
wiki
category slug:
encyclopedia
description:
Normed vector space for which the closed unit ball is strictly convex
original url:
https://en.wikipedia.org/wiki/Strictly_convex_space
date created:
date modified:
2023-10-05T02:22:34Z
main entity:
{"identifier":"Q916093","url":"https://www.wikidata.org/entity/Q916093"}
image:
fields total:
13
integrity:
14