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math.SP2011
Locally definite normal operators in Krein spaces
Friedrich Philipp
We introduce the spectral points of two-sided positive type of bounded normal operators in Krein spaces. It is shown that a normal operator has a local spectral function on sets wh…
math.SP2011
Spectral functions of products of selfadjoint operators
Tomas Ya. Azizov, Mikhail Denisov, Friedrich Philipp
Given two possibly unbounded selfadjoint operators A and G such that the resolvent sets of AG and GA are non-empty, it is shown that the operator AG has a spectral function on IR w…