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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 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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In Series:
Preprint / Technische Universität Ilmenau, Institut für Mathematik
Vol. 12-11 (21.09.2012)
Date Created:
21.09.2012
Date Issued:
21.09.2012
PPN:
734612087
Language:
English
Type of Resource:
Text
Keywords:
Krein space; non-negative operator; numerical range; spectral inclusion
Classification:
Klasse A
Classification:
für Harvesting bereitgestellt
DDC subject of DNB:
510 Mathematics
Hosting institution:
Technische Universität Ilmenau, Fakultät für Mathematik und Naturwissenschaften

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