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arXiv · 1502.03222

Functional Calculus for definitizable self-adjoint linear relations on Krein spaces

Michael Kaltenbäck·Raphael Pruckner
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Abstract

In the present note a functional calculus $ϕ\mapsto ϕ(A)$ for self-adjoint definitizable linear relation on Krein spaces is developed. This functional calculus is the proper analogue of $ϕ\mapsto \int ϕ\, dE$ 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.

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Michael Kaltenbäck, Raphael Pruckner. 2015-10-05. Functional Calculus for definitizable self-adjoint linear relations on Krein spaces. https://arxiv.org/abs/1502.03222

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