Compact operator
id:
compact-operator-189-4767794
title:
Compact operator
text:
In functional analysis, a branch of mathematics, a compact operator is a linear operator T : X → Y, where X, Y are normed vector spaces, with the property that T maps bounded subsets of X to relatively compact subsets of Y. Such an operator is necessarily a bounded operator, and so continuous. Some authors require that X, Y are Banach, but the definition can be extended to more general spaces. Any bounded operator T that has finite rank is a compact operator; indeed, the class of compact operato
brand slug:
wiki
category slug:
encyclopedia
description:
Type of continuous linear operator
original url:
https://en.wikipedia.org/wiki/Compact_operator
date created:
2004-04-05T09:47:26Z
date modified:
2024-09-09T12:29:29Z
main entity:
{"identifier":"Q1780743","url":"https://www.wikidata.org/entity/Q1780743"}
image:
fields total:
13
integrity:
15