The numerical range of non-negative operators in Krein spaces

We define and characterize the Krein space numerical range W(A) and the Krein space co-numerical range W_{\rm co}(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)\cap W_{\rm co}(A).

Bibliographic Details
Main Author: Philipp, Friedrich (Author)
Other Involved Persons: Trunk, Carsten
Format: eBook
Published: Ilmenau : Techn. Univ., Inst. für Mathematik 2012
Series:Technische Universität Ilmenau. Preprint M12,11
Physical Description:Online-Ressource (PDF-Datei: 21 S., 177,7 KB)
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Ilmenau University Library, Online

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