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Integral Operators with Semi-Separable Kernels

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

Abstract

In this chapter integral operators with semi-separable kernels are introduced and analyzed. Such operators turn out to be Hilbert-Schmidt, and their inversion properties may be read off from certain finite dimensional operators. In the case when the operators are also trace class, their trace and determinant may be computed explicitly in terms of the associated finite dimensional operators.

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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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