Uniform boundedness principle
id:
uniform-boundedness-principle-281-11124869
title:
Uniform boundedness principle
text:
In mathematics, the uniform boundedness principle or Banach–Steinhaus theorem is one of the fundamental results in functional analysis. Together with the Hahn–Banach theorem and the open mapping theorem, it is considered one of the cornerstones of the field. In its basic form, it asserts that for a family of continuous linear operators whose domain is a Banach space, pointwise boundedness is equivalent to uniform boundedness in operator norm. The theorem was first published in 1927 by Stefan Ban
brand slug:
wiki
category slug:
encyclopedia
description:
A theorem stating that pointwise boundedness implies uniform boundedness
original url:
https://en.wikipedia.org/wiki/Uniform_boundedness_principle
date created:
date modified:
2024-02-19T02:20:10Z
main entity:
{"identifier":"Q1426292","url":"https://www.wikidata.org/entity/Q1426292"}
image:
fields total:
13
integrity:
14