Skip to main content
Log in

Representations ofH (G) and invariant subspaces

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. Albrecht, E., Chevreau, B.: Preprint

  2. Apostol, C., Chevreau, B.: OnM-spectral sets and rationally invariant subspaces. J. Oper. Theory7, 247–266 (1982)

    Google Scholar 

  3. Bercovici, H.: The algebra of multiplication operators on Bergman spaces. Arch. Math.48, 165–174 (1987)

    Google Scholar 

  4. Bercovici, H.: A note on disjoint invariant subspaces. Mich. Math. J.34, 435–439 (1987)

    Google Scholar 

  5. Bercovici, H., Chevreau, B., Foias, C., Pearcy, C.: Dilation theory and systems of simultaneous equations in the predual of an operator algebra. II. Math. Z.187, 97–103 (1984)

    Google Scholar 

  6. Bercovici, H., Foias, C., Pearcy, C.: Dual algebras with applications to invariant subspaces and dilation theory: (CBMS Reg. Conf. Ser. Math., no. 56) Providence, RI: Am. Math. Soc. 1985

    Google Scholar 

  7. Bercovici, H., Foias, C., Pearcy, C.: Two Banach space methods and dual operator algebras. J. Funct. Anal.78, 306–345 (1988)

    Google Scholar 

  8. Bercovici, H., Foias, C., Langsam, J., Pearcy, C.: (BCP)-operators are reflexive. Mich. Math. J.29, 371–379 (1982)

    Google Scholar 

  9. Bonsall, F.F., Duncan, J.: Numerical ranges. II. Cambridge: Cambridge University Press 1973

    Google Scholar 

  10. Chevreau, B., Pearcy, C., Shields, A.: Finitely connected domainsG, representations ofH (G), and invariant subspaces. J. Oper. Theory6, 375–405 (1981)

    Google Scholar 

  11. Diestel, J.: Sequences and series in Banach spaces. (Grad. Texts Math., vol. 92) Berlin Heidelberg New York: Springer 1984

    Google Scholar 

  12. Eschmeier, J.: Multiplication operators on Bergman spaces are reflexive. (Oper. Theory, Adv. Appl., vol. 43, pp. 165–184) Basel Boston Berlin: Birkhäuser 1990

    Google Scholar 

  13. Eschmeier, J., Prunaru, B.: Invariant subspaces for operators with Bishop's property (β) and thick spectrum. J. Funct. Anal.94, 196–222 (1990)

    Google Scholar 

  14. Hadwin, D., Nordgren, E.: Subalgebras of reflexive algebras. J. Oper. Theory7, 3–23 (1982)

    Google Scholar 

  15. Kosiek, M., Ptak, M.: Reflexivity ofN-tuples of contractions with rich joint left essential spectrum. Integral Equations Oper. Theory13, 395–420 (1990)

    Google Scholar 

  16. Leiterer, J.: Banach coherent analytic Fréchet sheaves. Math. Nach.85, 91–109 (1978)

    Google Scholar 

  17. Loginov, A., Sulman, V.: Hereditary and intermediate reflexivity ofW*-algebras. Izv. Akad. SSSR, Ser. Mat.39, 1260–1273 (1975); Math. USSR, Izv.9, 1189–1201 (1975)

    Google Scholar 

  18. Olin, R., Thomson, J.: Algebras of subnormal operators. J. Funct. Anal.37, 271–301 (1980)

    Google Scholar 

  19. Robel, G.: On the structure of (BCP)-operators and related algebras. II. J. Oper. Theory12, 235–245 (1984)

    Google Scholar 

  20. Rubel, L.A., Shields, A.L.: The space of bounded analytic functions on a region. Ann. Inst. Fourier16, (no. 1) 235–277 (1966)

    Google Scholar 

  21. Singer, I.: Bases in Banach spaces. II. Berlin Heidelberg New York: Springer 1981

    Google Scholar 

  22. Taylor, J.L.: The analytic functional calculus for several commuting operators. Acta Math.125, 1–38 (1970)

    Google Scholar 

  23. Vasilescu, F.-H.: Analytic functional calculus and spectral decompositions. Dordrecht: Reidel 1982

    Google Scholar 

  24. Westwood, D.: OnC 00-contractions with dominating spectrum. J. Funct. Anal.66, 96–104 (1986)

    Google Scholar 

  25. Yan, K.: Invariant subspaces for joint subnormal systems. Preprint

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Eschmeier, J. Representations ofH (G) and invariant subspaces. Math. Ann. 298, 167–186 (1994). https://doi.org/10.1007/BF01459732

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01459732

Mathematics Subject Classification (1991)

Navigation