The numerical range of non-negative operators in Krein spaces

Philipp, Friedrich; Trunk, Carsten GND

We define and characterize the Krein space numerical range W(A) and the Krein space co-numerical range Wco(A) of a non-negative operator A in a Krein space. It is shown that the non-zero spectrum of A is contained in the closure of W(A) Wco(A).

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Philipp Dr., F., Trunk Univ.-Prof. Dr. rer. nat. habil., C., 2012. numerical range of non-negative operators in Krein spaces. Preprint /  Technische Universität Ilmenau, Institut für Mathematik, Preprint /  Technische Universität Ilmenau, Institut für Mathematik 12–11.
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