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The Theorems of WEYL and Von Neumann on Hermitean Carleman Operators

  • György I. Targonski
Conference paper
Part of the Lecture Notes in Mathematics book series (ASS, volume 6)

Abstract

Theorem 7.1. (Weyl-von Neumann): Given any hermitean operator A on L2, there exists a Hilbert-Schmidt operator X with arbitrarily small double-norm, such that A + X has a pure point spectrum; the set of limit points of the spectra of A and of A + X is identical.

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Copyright information

© Springer-Verlag Berlin · Heidelberg 1967

Authors and Affiliations

  • György I. Targonski
    • 1
  1. 1.Fordham UniversityUSA

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