Completeness of the system of root vectors of operators in a space with indefinite metric
type: Item
instance of: scholarly article
title: Completeness of the system of root vectors of operators in a space with indefinite metric
zbMATH Open document ID: 0722.47021
DOI: 10.1007/BF01077986
author: D. Kharzeev
publication date: 1987-01-01T00:00:00Z
review text: Hilbert space operators written in the form \(A=H(I+S)\) are considered. Various conditions on H and S sufficient for the system of root vectors of A to be complete are announced. Part of these conditions have to do with compactness and behaviour in an indefinite metric.
Mathematics Subject Classification ID: 47A70
Mathematics Subject Classification ID: 47A56
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47B10
zbMATH DE Number: 4190477
zbMATH Keywords: completeness of the system of root vectors of a linear pencil
zbMATH Keywords: Hilbert space operators
zbMATH Keywords: compactness
zbMATH Keywords: indefinite metric
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf01077986
OpenAlex ID: W2031209960
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 4190477