Skip to main content
SpringerLink
Log in

Toeplitz and composition operators on H2 (B n)

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

The composition operators with closed rangc on H2(B n) are characterized, and the Fredholmness of products of Toeplitz and composition operators discussed. Moreover, using composition operators, the spectra of Toeplitz operators are studied.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Cima, J., Wogen, W., A Carleson measure theorem for the Hrrgnliln spacc on the ball,J.Oper. Th., 1982, 7:157.

    MATH  MathSciNet  Google Scholar 

  2. MacCluer, H. D., Compact composition operators on Hρ(BN),J. Michigan Math., 1985, 32:237.

    Article  MATH  MathSciNet  Google Scholar 

  3. Cima, J. A., Thomson, J., Wogen, W. R., On some properties of composition operators.Indiana Univ. Math. J., 1974. 24:215.

    Article  MATH  MathSciNet  Google Scholar 

  4. Zorboskz, N., Composition operators with closed range.Trans.Amer. Math. Soc., 1994, 344(2):791.

    Article  MathSciNet  Google Scholar 

  5. Rudin, W., New constructions of functions holomorphic in the unit bill ofC n, Conference Board of the Mathematical Sciences. 1986. No. 63.

  6. Andersson, M., The H2 corona problem and\(\bar \partial _b \) in weakly pseuduconvex domains,Trans. Amer. Math. Soc., 1994, 342(1): 241.

    Article  MATH  MathSciNet  Google Scholar 

  7. Cao, G. F., Sun, Sh. L., On connectivity of spectra of Toeplitz operators with symbols in H∞+C,Ann. Math. of China, Scr. B. 1995, (1):93.

  8. Davie, A. M., Jewell, N. P., Toeplitz operators in several complex variables,J. Functional Analysis, 1977, 26:356.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Sichuan University, 610064, Chengdu, China

    Guangfu Cao & Shunhua Sun

Authors
  1. Guangfu Cao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shunhua Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Project supported by the National Natural Sciencc Foundation of China and the Postdoctoral Science Foundation of China.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cao, G., Sun, S. Toeplitz and composition operators on H2 (B n). Sci. China Ser. A-Math. 40, 578–584 (1997). https://doi.org/10.1007/BF02876061

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02876061

Keywords

Search

Navigation