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, Friedrich / Trunk, Carsten: The numerical range of non-negative operators in Krein spaces. 2012.

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