Hypercyclic and mixing composition operators on OM(R)

被引：0
作者：
Kalmes, Thomas [1 ]
Przestacki, Adam [2 ]
机构：
[1] Tech Univ Chemnitz, Fac Math, Reichenhainer Str 41, D-09107 Chemnitz, Germany
[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, Uniwersytetu Poznanskiego 4, PL-61614 Poznan, Poland
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2024年 / 118卷 / 04期
关键词：
Composition operator; Linear dynamics; Mixing operator; Abel's equation; Hypercyclic operator; DYNAMICS; SPACES;
D O I：
10.1007/s13398-024-01649-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we characterize mixing composition operators acting on the space O-M(R) of slowly increasing smooth functions. Moreover we relate the mixing property of those operators with the solvability of Abel's functional equation and we give a sufficient condition for sequential hypercyclicity of composition operators on O-M(R). This is used to prove that many mixing composition operators are hypercyclic.
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页数：17
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