Definitizability of normal operators on Krein spaces and their functional calculus

2016/01/15 by Kaltenbäck, Michael
#47A60 #47B15 #47B50 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1601.03873

Abstract

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

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