Abstract
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.
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© 1990 Springer Basel AG
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Gohberg, I., Goldberg, S., Kaashoek, M.A. (1990). Eigenvalues of Finite Type. In: Classes of Linear Operators Vol. I. Operator Theory: Advances and Applications, vol 49. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7509-7_3
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DOI: https://doi.org/10.1007/978-3-0348-7509-7_3
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-7511-0
Online ISBN: 978-3-0348-7509-7
eBook Packages: Springer Book Archive