SUPERCYCLIC TUPLES OF THE ADJOINT WEIGHTED COMPOSITION OPERATORS ON HILBERT SPACES

被引：0
作者：
Liang, Y. X. [1 ]
Zhou, Z. H. [2 ]
机构：
[1] Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China
[2] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2015年 / 41卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Supercyclic; adjoint; weighted composition operators; Hilbert space; HYPERCYCLICITY; SHIFTS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give some sufficient conditions under which the tuple of the adjoint of weighted composition operators (C-omega 1,C-phi 1*, C-omega 2,C-phi 2*) on the Hilbert space H of analytic functions is supercyclic.
引用
收藏
页码：121 / 139
页数：19
相关论文
共 17 条
[1]   On hypercyclicity and supercyclicity criteria [J].
Bermúdez, T ;
Bonilla, A ;
Peris, A .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2004, 70 (01) :45-54
[2]   HYPERCYCLICITY OF WEIGHTED COMPOSITION OPERATORS ON THE UNIT BALL OF CN [J].
Chen, Ren-Yu ;
Zhou, Ze-Hua .
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (05) :969-984
[3]  
Cowen Jr Carl C., 2019, Composition operators on spaces of analytic functions
[4]   OPERATORS WITH DENSE, INVARIANT, CYCLIC VECTOR MANIFOLDS [J].
GODEFROY, G ;
SHAPIRO, JH .
JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 98 (02) :229-269
[5]   SOME CYCLIC AND NON-CYCLIC VECTORS OF CERTAIN OPERATORS [J].
HILDEN, HM ;
WALLEN, LJ .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1974, 23 (07) :557-565
[6]   CYCLICITY OF THE ADJOINT OF WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF ANALYTIC FUNCTIONS [J].
Kamali, Zahra ;
Robati, Bahram Khani ;
Hedayatian, Karim .
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2011, 61 (02) :551-563
[7]   Hypercyclic behaviour of multiples of composition operators on weighted Banach spaces of holomorphic functions [J].
Liang, Yu-Xia ;
Zhou, Ze-Hua .
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2014, 21 (03) :385-401
[8]   HEREDITARILY HYPERCYCLICITY AND SUPERCYCLICITY OF WEIGHTED SHIFTS [J].
Liang, Yu-Xia ;
Zhou, Ze-Hua .
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (02) :363-382
[9]   ON ORBITS OF ELEMENTS [J].
ROLEWICZ, S .
STUDIA MATHEMATICA, 1969, 32 (01) :17-&
[10]   Hypercyclic tuples of the adjoint of the weighted composition operators [J].
Soltani, Rahmat ;
Robati, Bahram Khani ;
Hedayatian, Karim .
TURKISH JOURNAL OF MATHEMATICS, 2012, 36 (03) :452-462
12