Spectral Theorem for definitizable normal linear operators on Krein spaces

preprint2015arXivOpen access

Abstract

In the present note a spectral theorem for normal definitizable linear operators on Krein spaces is derived by developing a functional calculus ϕ↦ϕ(N)ϕ\mapsto ϕ(N) which is the proper analogue of ϕ↦∫ϕ dEϕ\mapsto \int ϕ\, dE in the Hilbert space situation.

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