Applications

Carlos S. Kubrusly
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Carlos S. Kubrusly: Catholic University — PUC/RJ

Chapter Chapter 7 in An Introduction to Models and Decompositions in Operator Theory, 1997, pp 101-107 from Springer

Abstract: Abstract 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.

Keywords: Unitary Operator; Invariant Subspace; Direct Summand; Weak Stability; General Contraction (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-1998-9_8

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DOI: 10.1007/978-1-4612-1998-9_8

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