Open mapping theorem (functional analysis)
id:
open-mapping-theorem-functional-analysis-167-5909350
title:
Open mapping theorem (functional analysis)
text:
In functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem or the Banach theorem, is a fundamental result that states that if a bounded or continuous linear operator between Banach spaces is surjective then it is an open map. A special case is also called the bounded inverse theorem, which states that a bijective bounded linear operator T from one Banach space to another has bounded inverse T − 1.
brand slug:
wiki
category slug:
encyclopedia
description:
Condition for a linear operator to be open
original url:
https://en.wikipedia.org/wiki/Open_mapping_theorem_(functional_analysis)
date created:
2008-05-13T02:06:18Z
date modified:
2024-08-30T07:41:33Z
main entity:
{"identifier":"Q944297","url":"https://www.wikidata.org/entity/Q944297"}
image:
fields total:
13
integrity:
15