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Functional Calculus for definitizable self-adjoint linear relations on Krein spaces by Kaltenbäck, Michael; Pruckner, Raphael is a scholarly article available to read on EtoBox.

What is Functional Calculus for definitizable self-adjoint linear relations on Krein spaces about?

In the present note a functional calculus $\phi \mapsto \phi(A)$ for self-adjoint definitizable linear relation on Krein spaces is developed. This functional calculus is the proper analogue of $\phi \mapsto \int \phi \, dE$ in the Hilbert space situation. It also comprises the Spectral Theorem for self-adjoint definitizable operators on Krein spaces showing the existence of spectral projections.

Author

Kaltenbäck, Michael; Pruckner, Raphael

Published

2015

Language

EN