Locally definite normal operators in Krein spaces
Spectral Theory
2011-08-01 v2
Abstract
We introduce the spectral points of two-sided positive type of bounded normal operators in Krein spaces. It is shown that a normal operator has a local spectral function on sets which are of two-sided positive type. In addition, we prove that the Riesz-Dunford spectral subspace corresponding to a spectral set which is only of positive type is uniformly positive. The restriction of the operator to this subspace is then normal in a Hilbert space.
Cite
@article{arxiv.1106.2579,
title = {Locally definite normal operators in Krein spaces},
author = {Friedrich Philipp},
journal= {arXiv preprint arXiv:1106.2579},
year = {2011}
}