Sous-espaces invariants dans les espaces de Banach

B. Beauzamy

Séminaire Bourbaki (1979-1980)

  • Volume: 22, page 95-111
  • ISSN: 0303-1179

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Beauzamy, B.. "Sous-espaces invariants dans les espaces de Banach." Séminaire Bourbaki 22 (1979-1980): 95-111. <http://eudml.org/doc/109965>.

@article{Beauzamy1979-1980,
author = {Beauzamy, B.},
journal = {Séminaire Bourbaki},
keywords = {Brown's theorem; Enflo's example; Lomonosov theorem},
language = {fre},
pages = {95-111},
publisher = {Springer-Verlag},
title = {Sous-espaces invariants dans les espaces de Banach},
url = {http://eudml.org/doc/109965},
volume = {22},
year = {1979-1980},
}

TY - JOUR
AU - Beauzamy, B.
TI - Sous-espaces invariants dans les espaces de Banach
JO - Séminaire Bourbaki
PY - 1979-1980
PB - Springer-Verlag
VL - 22
SP - 95
EP - 111
LA - fre
KW - Brown's theorem; Enflo's example; Lomonosov theorem
UR - http://eudml.org/doc/109965
ER -

References

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  1. [1] C. Apostol, C. Fdias, D. Voiculescu, Some results on non quasi-triangular operators, IV, Revue Roumaine Math. Pures et Appl., 18 (1973), 487-514. Zbl0264.47007
  2. [2] C. Apostol, C. Foias, D. Voiculescu, On the norm closure of nilpotents II, Revue Roumaine Math. Pures et Appl., 19, (1974), 549-557. Zbl0289.47012MR417828
  3. [3] A. Atzmon, Operators which are annihilated by analytic functions and invariant subspaces, à paraître à Acta Math. Zbl0449.47007MR558090
  4. [4] B. Beauzamy, Sous-espaces invariants de type fonctionnel dans les espaces de Banach, à paraître à Acta Math. Zbl0438.47005MR571478
  5. [5] C.A. Berger, Sufficiently high powers of hyponormal operators have rationally invariant subspaces, J. of Integral Equations and Operator Theory, vol. 1, n° 3, (1978), 444-447. Zbl0416.47010MR511979
  6. [6] N. Bourbaki, Théories spectrales, Hermann, Paris, 1967. 
  7. [7] S. Brown, Some invariant subspaces for subnormal operators, à paraître au J. of Int. Equ. and Operator Theory. Zbl0416.47009
  8. [8] S. Brown, B. Chevreau, C. Pearcy, Contractions with rich spectrum have invariant subspaces, J. of Operator Theory, 1 (1979), 123-136. Zbl0449.47003MR526294
  9. [9] I. Colojoara, C. Foias, General Spectral Theory, Gordon and Breach, 1968. Zbl0189.44201MR394282
  10. [10] N. Dunford, J.T. Schwartz, Linear Operators, New-York, 1971. 
  11. [11] P. Enflo, On the Invariant subspace problem in Banach spaces, à paraître. Zbl0663.47003
  12. [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. Zbl0413.47004MR534499
  13. [13] H. Kim, C. Pearcy, A. Shields, Rank one commutators and hyperinvariant subspaces, Michigan Math. J., 23, (1976), 235-243. Zbl0346.47026MR463943
  14. [14] J.I. Ljubic, V.I. Macaev, On operators with separable spectrum, American Math. Soc. Translations (traduit du russe) : 2- 47 (1965), 89-129. 
  15. [15] V.I. Lomonossov, Invariant subspaces for operators commuting with a compact operator, Funk. Anal. i Prilozen, 7 (1973), 55-56. Zbl0293.47003
  16. [16] Séminaire BOURBAKI, 1953/54, n° 85, décembre 1953. L'existence de sous-espaces stables, par R. Pallu de la Barrière, d'après J. Wermer. Zbl0168.11502
  17. [17] B. Sz- Nagy, C. Foias, Harmonic Analysis of Operators on Hilbert space, Akademiai Kiado - Budapest, 1970. Zbl0201.45003MR275190
  18. [18] J. Wermer, The existence of Invariant subspaces, Duke Math. J., 19 (1952), 615-622. Zbl0047.35806MR50799

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