Frequent hypercyclicity of weighted composition operators on the space of smooth functions

被引：1

作者：

Piszczek, Krzysztof ^{[1
]}

Przestacki, Adam ^{[1
]}

机构：

[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, Ul Uniwersytetu Poznanskiego 4, PL-61614 Poznan, Poland

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2021年 / 115卷 / 02期

关键词：

Linear dynamics; (Space of)smooth functions; Hypercyclicity; Weighted composition operator;

D O I：

10.1007/s13398-020-00995-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every hypercyclic weighted composition operator acting on the space of smooth functions on the real line is already frequently hypercyclic. Moreover, for a given frequently hypercyclic weighted composition operator C-w,C-psi we show that C-infinity(R)=FHC(C-w,C-psi)+FHC(C-w,C-psi) boolean OR {0} contains a closed infinite dimensional subspace.

引用

页数：11

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