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.




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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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