Balanced set
id:
balanced-set-258-16042677
title:
Balanced set
text:
In linear algebra and related areas of mathematics a balanced set, circled set or disk in a vector space is a set S such that a S ⊆ S for all scalars a satisfying | a | ≤ 1. The balanced hull or balanced envelope of a set S is the smallest balanced set containing S . The balanced core of a set S is the largest balanced set contained in S . Balanced sets are ubiquitous in functional analysis because every neighborhood of the origin in every topological vector space (TVS) contains a balanced neigh
brand slug:
wiki
category slug:
encyclopedia
description:
Construct in functional analysis
original url:
https://en.wikipedia.org/wiki/Balanced_set
date created:
date modified:
2024-03-21T16:57:24Z
main entity:
{"identifier":"Q778785","url":"https://www.wikidata.org/entity/Q778785"}
image:
fields total:
13
integrity:
14