Multiplicity of spectrum of maximal normal operators
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.
KeywordsCanonical Mapping Small Index Maximal Subset Finite Part Lower Multiplicity
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