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Definitizability of normal operators on Krein spaces and their functional calculus

Research paper by Michael Kaltenbäck

Indexed on: 15 Jan '16Published on: 15 Jan '16Published in: Mathematics - Functional Analysis



Abstract

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