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math.SP2014
Spectral Points of Type and Type of Closed Operators in Indefinite Inner Product Spaces
Friedrich Philipp, Carsten Trunk
We introduce the notion of spectral points of type and type of closed operators in a Hilbert space which is equipped with an indefinite inner product. It is shown t…
math.SP2012
Local spectral theory for normal operators in Krein spaces
Friedrich Philipp, Vladimir Strauss, Carsten Trunk
Sign type spectra are an important tool in the investigation of spectral properties of selfadjoint operators in Krein spaces. It is our aim to show that also sign type spectra for…
math.SP2012★ 2 cited
Bounds on the non-real spectrum of differential operators with indefinite weights
Jussi Behrndt, Friedrich Philipp, Carsten Trunk
Ordinary and partial differential operators with an indefinite weight function can be viewed as bounded perturbations of non-negative operators in Krein spaces. Under the assumptio…