CYCLIC VECTORS AND CELLULAR INDECOMPOSABLE OPERATORS ON Qp SPACES

doi:10.1016/S0252-9602(11)60243-9

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (2): 434-440.doi: 10.1016/S0252-9602(11)60243-9

CYCLIC VECTORS AND CELLULAR INDECOMPOSABLE OPERATORS ON Q_p SPACES

叶善力|娄增建*

1. Department of Mathematics, Fujian Normal University, Fuzhou 350007, China
2. Department of Mathematics, Shantou University, Shantou 515063, China

收稿日期:2008-05-13 修回日期:2009-10-05 出版日期:2011-03-20 发布日期:2011-03-20
通讯作者: 娄增建 E-mail:shanliye@fjnu.edu.cn; zjlou@stu.edu.cn
基金资助:
This article was supported by NNSF of China (10771130), Specialized Research Fund for the Doctoral Program of High Education (2007056004), NSF of Guangdong Province (10151503101000025), and NSF of Fujian Province (2009J01004).

CYCLIC VECTORS AND CELLULAR INDECOMPOSABLE OPERATORS ON Q_p SPACES

YE Shan-Li, LOU Zeng-Jian*

1. Department of Mathematics, Fujian Normal University, Fuzhou 350007, China
2. Department of Mathematics, Shantou University, Shantou 515063, China

Received:2008-05-13 Revised:2009-10-05 Online:2011-03-20 Published:2011-03-20
Contact: LOU Zeng-Jian E-mail:shanliye@fjnu.edu.cn; zjlou@stu.edu.cn
Supported by:
This article was supported by NNSF of China (10771130), Specialized Research Fund for the Doctoral Program of High Education (2007056004), NSF of Guangdong Province (10151503101000025), and NSF of Fujian Province (2009J01004).

摘要/Abstract

摘要：

We identify the functions whose polynomial multiples are weak* dense in Q_p spaces and prove that if |f(z)|≥|g(z)| and g is cyclic in Q_p, then f is cyclic in Q_p. We also show that the multiplication operator M_z on Q_p spaces is cellular indecomposable.

关键词: Cyclic vectors, Outer functions, Cellular indecomposable, Q_p spaces

Abstract:

Key words: Cyclic vectors, Outer functions, Cellular indecomposable, Q_p spaces

中图分类号:

30D50

叶善力, 娄增建. CYCLIC VECTORS AND CELLULAR INDECOMPOSABLE OPERATORS ON Q_p SPACES[J]. 数学物理学报(英文版), 2011, 31(2): 434-440.

YE Shan-Li, LOU Zeng-Jian. CYCLIC VECTORS AND CELLULAR INDECOMPOSABLE OPERATORS ON Q_p SPACES[J]. Acta mathematica scientia,Series B, 2011, 31(2): 434-440.

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CYCLIC VECTORS AND CELLULAR INDECOMPOSABLE OPERATORS ON Q_p SPACES

CYCLIC VECTORS AND CELLULAR INDECOMPOSABLE OPERATORS ON Q_p SPACES

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