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Functional Models

  • Béla Sz.-Nagy
  • Hari BercoviciEmail author
  • Ciprian Foias
  • László Kérchy
Chapter
  • 1.9k Downloads
Part of the Universitext book series (UTX)

Abstract

We recall the definition of the defect operators and defect spaces corresponding to a contraction T on the Hilbert space \(\mathfrak{K}:\)
$$\begin{array}{ll}D_{T} = (I - T ^{*} T)^{1/2},\qquad D_{T^{*}} = ({I - TT^{*}}){1/2},\\ \mathfrak{D}_{T} =\overline{D_{T}\mathfrak{H}},\qquad \qquad \quad \,\,\, \mathfrak{D}_{T^{*}} = \overline{D_{T^{*}}{\mathfrak{H}}}. \end{array}$$

Keywords

Characteristic Function Unitary Operator Functional Model Spectral Type Minimal Function 
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, LLC 2010

Authors and Affiliations

  • Béla Sz.-Nagy
  • Hari Bercovici
    • 1
    Email author
  • Ciprian Foias
    • 2
  • László Kérchy
    • 3
  1. 1.Mathematics DepartmentIndiana UniversityBloomingtonUSA
  2. 2.Mathematics DepartmentTexas A & M UniversityCollege StationUSA
  3. 3.Bolyai InstituteSzeged UniversitySzegedHungary

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