Hypercyclic operator
id:
hypercyclic-operator-240-8383771
title:
Hypercyclic operator
text:
In mathematics, especially functional analysis, a hypercyclic operator on a topological vector space X is a continuous linear operator T: X → X such that there is a vector x ∈ X for which the sequence {Tn x: n = 0, 1, 2, …} is dense in the whole space X. In other words, the smallest closed invariant subset containing x is the whole space. Such an x is then called hypercyclic vector. There is no hypercyclic operator in finite-dimensional spaces, but the property of hypercyclicity in spaces of inf
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Hypercyclic_operator
date created:
date modified:
2024-03-12T11:31:58Z
main entity:
{"identifier":"Q4138755","url":"https://www.wikidata.org/entity/Q4138755"}
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fields total:
13
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13