Acta mathematica scientia,Series B ›› 2018, Vol. 38 ›› Issue (4): 1427-1440.

• Articles • Previous Articles    

WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF DIRICHLET SERIES

Maofa WANG1, Xingxing YAO2, Fangwen DENG3   

  1. 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).

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

Trendmd