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M. Kaltenbäck:
"Spectral Theorem for definitizable normal linear operators on Krein spaces";
in: "ASC Report 09/2015", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, 2015, ISBN: 978-3-902627-08-7, 1 - 21.

In the present note a spectral theorem for normal definitizable
linear operators on Krein spaces is derived by developing a functional
calculus $\phi \map \int \phi d(N)$ which is the proper analogue of $\phi \map \int \phi dE$ in the Hilbert space situation.

Krein space, definitizable operators, normal operators, spectral theorem

http://www.asc.tuwien.ac.at/preprint/2015/asc09x2015.pdf