Surjection of Fréchet spaces
id:
surjection-of-fr-chet-spaces-323-252884
title:
Surjection of Fréchet spaces
text:
The theorem on the surjection of Fréchet spaces is an important theorem, due to Stefan Banach, that characterizes when a continuous linear operator between Fréchet spaces is surjective. The importance of this theorem is related to the open mapping theorem, which states that a continuous linear surjection between Fréchet spaces is an open map. Often in practice, one knows that they have a continuous linear map between Fréchet spaces and wishes to show that it is surjective in order to use the ope
brand slug:
wiki
category slug:
encyclopedia
description:
Characterization of surjectivity
original url:
https://en.wikipedia.org/wiki/Surjection_of_Fr%C3%A9chet_spaces
date created:
date modified:
2023-11-10T20:45:06Z
main entity:
{"identifier":"Q96407039","url":"https://www.wikidata.org/entity/Q96407039"}
image:
fields total:
13
integrity:
14