WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF DIRICHLET SERIES

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (4): 1427-1440.

• 论文 • 上一篇

WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF DIRICHLET SERIES

王茂发¹, 姚兴兴², 邓方文³

1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;
2. School of Science, Wuhan Institute of Technology, Wuhan 430205, China;
3. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China

收稿日期:2015-12-01 修回日期:2018-05-06 出版日期:2018-08-25 发布日期:2018-08-25
通讯作者: Xingxing YAO,E-mail:xxyao.math@whu.edu.cn E-mail:xxyao.math@whu.edu.cn
作者简介:Maofa WANG,E-mail:mfwang.math@whu.edu.cn;Fangwen DENG,E-mail:fwdeng@wipm.ac.cn
基金资助:
This research is partially supported by NSFC (11771340, 11701434, 11431011, 11471251, 11771441).

WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF DIRICHLET SERIES

Maofa WANG¹, Xingxing YAO², Fangwen DENG³

1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;
2. School of Science, Wuhan Institute of Technology, Wuhan 430205, China;
3. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China

Received:2015-12-01 Revised:2018-05-06 Online:2018-08-25 Published:2018-08-25
Contact: Xingxing YAO,E-mail:xxyao.math@whu.edu.cn E-mail:xxyao.math@whu.edu.cn
Supported by:
This research is partially supported by NSFC (11771340, 11701434, 11431011, 11471251, 11771441).

摘要/Abstract

摘要： In this paper, we study weighted composition operators on the Hilbert space of Dirichlet series with square summable coefficients. The Hermitianness, Fredholmness and invertibility of such operators are characterized, and the spectra of compact and invertible weighted composition operators are also described.

关键词: weighted composition operator, Hermitianness, Fredholmness, invertibility, spectrum

Abstract: In this paper, we study weighted composition operators on the Hilbert space of Dirichlet series with square summable coefficients. The Hermitianness, Fredholmness and invertibility of such operators are characterized, and the spectra of compact and invertible weighted composition operators are also described.

Key words: weighted composition operator, Hermitianness, Fredholmness, invertibility, spectrum

王茂发, 姚兴兴, 邓方文. WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF DIRICHLET SERIES[J]. 数学物理学报(英文版), 2018, 38(4): 1427-1440.

Maofa WANG, Xingxing YAO, Fangwen DENG. WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF DIRICHLET SERIES[J]. Acta mathematica scientia,Series B, 2018, 38(4): 1427-1440.

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WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF DIRICHLET SERIES

WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF DIRICHLET SERIES

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