Approximation property
id:
approximation-property-241-16398366
title:
Approximation property
text:
In mathematics, specifically functional analysis, a Banach space is said to have the approximation property (AP), if every compact operator is a limit of finite-rank operators. The converse is always true. Every Hilbert space has this property. There are, however, Banach spaces which do not; Per Enflo published the first counterexample in a 1973 article. However, much work in this area was done by Grothendieck (1955). Later many other counterexamples were found. The space L of bounded operators
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical concept
original url:
https://en.wikipedia.org/wiki/Approximation_property
date created:
date modified:
2024-04-04T17:56:46Z
main entity:
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image:
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fields total:
13
integrity:
15