Closed linear operator

id: closed-linear-operator-186-11340022
title: Closed linear operator
text: In functional analysis, a branch of mathematics, a closed linear operator or often a closed operator is a linear operator whose graph is closed. It is a basic example of an unbounded operator. The closed graph theorem says a linear operator between Banach spaces is a closed operator if and only if it is a bounded operator. Hence, a closed linear operator that is used in practice is typically only defined on a dense subspace of a Banach space.
brand slug: wiki
category slug: encyclopedia
description:
original url: https://en.wikipedia.org/wiki/Closed_linear_operator
date created: 2020-08-02T01:26:54Z
date modified: 2024-09-08T15:39:43Z
main entity: {"identifier":"Q320370","url":"https://www.wikidata.org/entity/Q320370"}
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fields total: 13
integrity: 14

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