Definitizability of normal operators on Krein spaces and their functional calculus

preprint2016arXivOpen access

We discuss a new concept of definitizability of a normal operator on Krein spaces. For this new concept we develop a functional calculus $ϕ\mapsto ϕ(N)$ which is the proper analogue of $ϕ\mapsto \int ϕ\, dE$ in the Hilbert space situation.

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Definitizability of normal operators on Krein spaces and their functional calculus

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