Spectral Theorem for definitizable normal linear operators on Krein spaces

2015/03/08 by Kaltenbäck, Michael
#47A60 #47B15 #47B50 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1503.02263

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) which is the proper analogue of ϕ↦ ∫ ϕ dE in the Hilbert space situation.

Related

• Definitizability of normal operators on Krein spaces and their functional calculus
• Functional Calculus for definitizable self-adjoint linear relations on Krein spaces
• Locally definite normal operators in Krein spaces
• Local spectral theory for normal operators in Krein spaces
• Note on the Spectral Theorem