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Unbounded Selfadjoint Operators

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

Abstract

This chapter introduces the reader to unbounded selfadjoint operators on a complex Hilbert space. We give examples of such operators, describe their elementary properties, and prove the spectral theorem. The main method employed here is to transfer from the unbounded operator to its resolvent and to apply our results for bounded selfadjoint operators.

Keywords

Hilbert Space Orthogonal Projection Bounded Linear Operator Symmetric Operator Selfadjoint Operator 
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 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

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