Locally finite operator
id:
locally-finite-operator-241-17314709
title:
Locally finite operator
text:
In mathematics, a linear operator f : V → V is called locally finite if the space V is the union of a family of finite-dimensional f -invariant subspaces. In other words, there exists a family { V i | i ∈ I } of linear subspaces of V , such that we have the following: ⋃ i ∈ I V i = V f [ V i ] ⊆ V i Each V i is finite-dimensional. An equivalent condition only requires V to be the spanned by finite-dimensional f -invariant subspaces. If V is also a Hilbert space, sometimes an operator is called l
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Locally_finite_operator
date created:
date modified:
2024-04-11T21:55:50Z
main entity:
{"identifier":"Q6664680","url":"https://www.wikidata.org/entity/Q6664680"}
image:
fields total:
13
integrity:
13