Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-15694
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Main Title: On Locally Definite Operators in Krein Spaces
Author(s): Jonas, Peter
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/16916
http://dx.doi.org/10.14279/depositonce-15694
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: For selfadjoint operators in Krein spaces the notions of spectral points of positive and negative type are basic in the spectral and perturbation theory of these operators. The aim of this paper is to give different characterizations of these sign types of spectral points. Moreover a local variant of definitizability is characterized in various ways.
Subject(s): selfadjoint and unitary operators in Krein spaces
spectral points of positive and negative type
spectral function
definitizable operators
selfadjoint linear relations
Issue Date: 21-Jan-2003
Date Available: 11-May-2022
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 47B50 Operators on spaces with an indefinite metric
47A56 Functions whose values are linear operators
47A60 Functional calculus
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2003, 03
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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