Archiv der Mathematik

, Volume 70, Issue 5, pp 399–406 | Cite as

A note on hyperinvariant subspaces for operators acting on a Banach space

  • I. Chalendar


Let T be a linear operator acting on a Banach space. We give sufficient conditions on the geometry of the spectrum and on the growth of the resolvent (not expressed in terms of distance to the spectrum) for the existence of nontrivial hyperinvariant subspaces for the operator T.


Banach Space Linear Operator Hyperinvariant Subspace Nontrivial Hyperinvariant Subspace 
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Copyright information

© Birkhäuser Verlag, Basel 1998

Authors and Affiliations

  • I. Chalendar
    • 1
  1. 1.U.F.R Mathématiques et Informatique, Université Bordeaux I, 351, cours de la Libération, F-33405 Talence Cedex, FranceFR

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