Hypercyclic Operators on Vector-Valued Hardy Spaces

被引：0
|
作者：
Rezaei, Hamid [1 ]
Ab Alvan, Javad Amini [1 ]
机构：
[1] Univ Yasuj, Coll Sci, Dept Math, Yasuj 7591474831, Iran
来源：
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2019年 / 43卷 / A3期
关键词：
Hypercyclic operator; Vector-valued Hardy space; Primary; 47A16; Secondary; 47B48;
D O I：
10.1007/s40995-018-0547-3
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Let T be a bounded linear operator on a Banach space X and phi be an analytic self-map of the unit disk D. We study the hypercyclic property of bilateral composition operator C phi,T:fTf phi on the vector-valued Hardy space H2(X). In particular, we show C phi is hypercyclic on H2(X) if and only if C phi is hypercyclic on the scalar-valued Hardy space H2.
引用
收藏
页码：875 / 881
页数：7
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