Skip to main content

Sous-espaces invariants dans les espaces de banach

  • Conference paper
  • First Online:
Séminaire Bourbaki vol. 1979/80 Exposés 543 – 560

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 842))

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographie

  1. C. APOSTOL, C. FOIAS, D. VOICULESCU, Some results on non quasi-triangular operators, IV, Revue Roumaine Math. Pures et Appl., 18 (1973), 487–514.

    MATH  Google Scholar 

  2. C. APOSTOL, C. FOIAS, D. VOICULESCU, On the norm closure of nilpotents II, Revue Roumaine Math. Pures et Appl., 19, (1974), 549–557.

    MATH  MathSciNet  Google Scholar 

  3. A. ATZMON, Operators which are annihilated by analytic functions and invariant subspaces, à paraître à Acta Math.

    Google Scholar 

  4. B. BEAUZAMY, Sous-espaces invariants de type fonctionnel dans les espaces de Banach, à paraître à Acta Math.

    Google Scholar 

  5. C.A. BERGER, Sufficiently high powers of hyponormal operators have rationally invariant subspaces, J. of Integral Equations and Operator Theory, vol. 1, no 3, (1978), 444–447.

    Article  MATH  Google Scholar 

  6. N. BOURBAKI, Théories spectrales, Hermann, Paris, 1967.

    MATH  Google Scholar 

  7. S. BROWN, Some invariant subspaces for subnormal operators, à paraître au J. of Int. Equ. and Operator Theory.

    Google Scholar 

  8. S. BROWN, B. CHEVREAU, C. PEARCY, Contractions with rich spectrum have invariant subspaces, J. of Operator Theory, 1 (1979), 123–136.

    MATH  MathSciNet  Google Scholar 

  9. I. COLOJOARA, C. FOIAS, General Spectral Theory, Gordon and Breach, 1968.

    Google Scholar 

  10. N. DUNFORD, J.T. SCHWARTZ, Linear Operators, New-York, 1971.

    Google Scholar 

  11. P. ENFLO, On the Invariant subspace problem in Banach spaces, à paraître.

    Google Scholar 

  12. C.K. FONG, E. NORDGREN, M. RADJABALIPOUR, H. RADJAVI, P. ROSENTHAL, Extensions of Lomonossov's invariant subspace theorem, Acta Sc. Math. Szejed, 41 (1979), 55–62.

    MATH  MathSciNet  Google Scholar 

  13. H. KIM, C. PEARCY, A. SHIELDS, Rank one commutators and hyperinvariant subspaces, Michigan Math. J., 23, (1976), 235–243.

    Article  MathSciNet  Google Scholar 

  14. J.I. LJUBIC, V.I. MACAEV, On operators with separable spectrum, American Math. Soc. Translations (traduit du russe): 2–47 (1965), 89–129.

    Google Scholar 

  15. V.I. LOMONOSSOV, Invariant subspaces for operators commuting with a compact operator, Funk. Anal. i Prilozen, 7 (1973), 55–56.

    Google Scholar 

  16. Séminaire BOURBAKI, 1953/54, no 85, décembre 1953. L'existence de sous-espaces stables, par R. Pallu de la Barrière, d'après J. Wermer.

    Google Scholar 

  17. B. Sz-NAGY, C. FOIAS, Harmonic Analysis of Operators on Hilbert space, Akademiai Kiado-Budapest, 1970.

    Google Scholar 

  18. J. WERMER, The existence of Invariant subspaces, Duke Math. J., 19 (1952), 615–622.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1981 N. Bourbaki

About this paper

Cite this paper

Beauzamy, B. (1981). Sous-espaces invariants dans les espaces de banach. In: Séminaire Bourbaki vol. 1979/80 Exposés 543 – 560. Lecture Notes in Mathematics, vol 842. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0089930

Download citation

  • DOI: https://doi.org/10.1007/BFb0089930

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10292-2

  • Online ISBN: 978-3-540-38437-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics