Functional Calculus for Unbounded Operators

  • Israel Gohberg
  • Seymour Goldberg
  • Marinus A. Kaashoek
Part of the Operator Theory: Advances and Applications book series (OT, volume 49)


In the first two sections of this chapter the theory of Riesz projections and the functional calculus developed in Chapter I are extended to unbounded linear operators. This extension is quite straightforward. The next two sections concern a more difficult problem, namely, the case when the contour of integration goes through infinity. For the unbounded case (when infinity always belongs to the spectrum) the solution requires a spectral decomposition for the spectrum at infinity.


Half Plane Bounded Linear Operator Spectral Decomposition Finite Type Functional Calculus 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Basel AG 1990

Authors and Affiliations

  • Israel Gohberg
    • 1
  • Seymour Goldberg
    • 2
  • Marinus A. Kaashoek
    • 3
  1. 1.School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact SciencesTel-Aviv UniversityTel-AvivIsrael
  2. 2.Department of MathematicsUniversity of MarylandCollege ParkUSA
  3. 3.Faculteit Wiskunde en InformaticaVrije UniversiteitAmsterdamThe Netherlands

Personalised recommendations