arXiv Open Access 2011

Locally definite normal operators in Krein spaces

Friedrich Philipp

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.SP

Penulis (1)

Friedrich Philipp

Format Sitasi

APA MLA BibTeX

Philipp, F. (2011). Locally definite normal operators in Krein spaces. https://arxiv.org/abs/1106.2579

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2011
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓