Locally definitizable operators : the local structure of the spectrum

Trunk, Carsten GND

We consider different types of spectral points of locally definitizable operators which can be defined with the help of approximate eigensequences. Their behavior allow a characterization in terms of the (local) spectral function. Moreover, we review some perturbation results for locally definitizable operators.

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Trunk Univ.-Prof. Dr. rer. nat. habil., C., 2013. Locally definitizable operators: the local structure of the spectrum. Preprint /  Technische Universität Ilmenau, Institut für Mathematik, Preprint /  Technische Universität Ilmenau, Institut für Mathematik 13–12.
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