The Structure of Operators of Class C0

  • Béla Sz.-Nagy
  • Hari Bercovici
  • Ciprian Foias
  • László Kérchy
Chapter
Part of the Universitext book series (UTX)

Abstract

Let T be a c.n.u. contraction on the Hilbert space \(\mathfrak{H}\), and\(h \in \mathfrak{H}\). Denote by\(\mathfrak{M_h}\) the cyclic space for T generated by h. Observe that for a function uH we have u(T)h = 0 if and only if \(u (T | \mathfrak{M_h}) = 0.\)

Keywords

Fami 

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Béla Sz.-Nagy
  • Hari Bercovici
    • 1
  • 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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