Multiplicity of spectrum of maximal normal operators

  • Otton Martin Nikodým
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 129)


If the normal operator has discontinuous spectrum, the multiplicity of an eigenvalue is easy to define. The case of continuous spectrum is more difficult, but the canonical multiplane-representation of the operator will be helpful. Our theory will define the multiplicity so that it will be not only precise, but intuitionally simple and even visual. We start with some hypotheses and preliminaries.


Canonical Mapping Small Index Maximal Subset Finite Part Lower Multiplicity 
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Copyright information

© Springer-Verlag New York Inc. 1966

Authors and Affiliations

  • Otton Martin Nikodým
    • 1
  1. 1.UticaUSA

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