English

Spectral Theorem for definitizable normal linear operators on Krein spaces

Functional Analysis 2015-03-10 v1

Abstract

In the present note a spectral theorem for normal definitizable linear operators on Krein spaces is derived by developing a functional calculus ϕϕ(N)\phi \mapsto \phi(N) which is the proper analogue of ϕϕdE\phi \mapsto \int \phi \, dE in the Hilbert space situation.

Keywords

Cite

@article{arxiv.1503.02263,
  title  = {Spectral Theorem for definitizable normal linear operators on Krein spaces},
  author = {Michael Kaltenbäck},
  journal= {arXiv preprint arXiv:1503.02263},
  year   = {2015}
}
R2 v1 2026-06-22T08:46:53.338Z