Eigenvalues of Finite Type
The results of the previous chapter are developed further for the case when the operator has isolated eigenvalues with properties of the same type as eigenvalues of finite matrices. The problem of completeness of eigenvectors and generalized eigenvectors appears in a natural way. The results are applied to compact operators. This chapter also contains limit theorems for spectra and the infinite dimensional version of Schur’s lemma about triangular forms.
KeywordsCompact Operator Finite Type Finite Rank Linear Manifold Algebraic Multiplicity
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