Invariant subspace problem
id:
invariant-subspace-problem-178-10997215
title:
Invariant subspace problem
text:
In the field of mathematics known as functional analysis, the invariant subspace problem is a partially unresolved problem asking whether every bounded operator on a complex Banach space sends some non-trivial closed subspace to itself. Many variants of the problem have been solved, by restricting the class of bounded operators considered or by specifying a particular class of Banach spaces. The problem is still open for separable Hilbert spaces.
brand slug:
wiki
category slug:
encyclopedia
description:
Partially unsolved problem in mathematics
original url:
https://en.wikipedia.org/wiki/Invariant_subspace_problem
date created:
2004-05-30T18:40:11Z
date modified:
2024-09-04T15:23:47Z
main entity:
{"identifier":"Q6059532","url":"https://www.wikidata.org/entity/Q6059532"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/58/Eigenvalue_equation.svg","width":500,"height":400}
fields total:
13
integrity:
16