Decomposition results from Chapter 5 and model results from Chapter 6 will be combined to yield further pattern and decomposition results. First we shall combine Nagy-Foiaş-Langer decomposition for contractions and the Durszt model for completely nonunitary contractions to get a pattern for general contractions, which can be viewed as a kind of ultimate extension of patterns for contractions. Next we shall combine such a pattern for general contractions and Nagy-Foiaş-Langer decomposition again to get Foguel decomposition, which says that every contraction can be decomposed into a direct sum of a weakly stable contraction and a unitary operator.


Unitary Operator Invariant Subspace Direct Summand Weak Stability General Contraction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Carlos S. Kubrusly
    • 1
    • 2
  1. 1.Catholic University — PUC/RJRio de JaneiroBrazil
  2. 2.National Laboratory for Scientific Computation — LNCCRio de JaneiroBrazil

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