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Analytic Equivalence

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

Abstract

In this chapter we study a concept of equivalence which allows one to compare spectra and spectral properties of different operators with the aim to find their similarities. Local and global aspects of the equivalence concept are studied separately. Equivalence is also used for the analysis of operators which depend analytically (and not necessarily linearly) on the spectral parameter.

Keywords

Banach Space Operator Function Open Neighbourhood Analytic Equivalence Operator Matrix 
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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