English

Definitizability of normal operators on Krein spaces and their functional calculus

Functional Analysis 2016-01-18 v1

Abstract

We discuss a new concept of definitizability of a normal operator on Krein spaces. For this new concept we develop 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.1601.03873,
  title  = {Definitizability of normal operators on Krein spaces and their functional calculus},
  author = {Michael Kaltenbäck},
  journal= {arXiv preprint arXiv:1601.03873},
  year   = {2016}
}