Girth (functional analysis)
id:
girth-functional-analysis-263-15630694
title:
Girth (functional analysis)
text:
In functional analysis, the girth of a Banach space is the infimum of lengths of centrally symmetric simple closed curves in the unit sphere of the space. Equivalently, it is twice the infimum of distances between opposite points of the sphere, as measured within the sphere. Every finite-dimensional Banach space has a pair of opposite points on the unit sphere that achieves the minimum distance, and a centrally symmetric simple closed curve that achieves the minimum length. However, such a curve
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Girth_(functional_analysis)
date created:
date modified:
2023-06-21T16:12:07Z
main entity:
{"identifier":"Q17017149","url":"https://www.wikidata.org/entity/Q17017149"}
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13
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