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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

Scalar Multiple Invariant Subspace Separable Hilbert Space Trace Class Jordan Block 
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
  • 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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