Bases from eigensubspaces of a nondissipative operator and the characteristic function
type: Item
instance of: scholarly article
title: Bases from eigensubspaces of a nondissipative operator and the characteristic function
zbMATH Open document ID: 0692.47020
DOI: 10.1007/BF01077426
author: V. F. Veselov
publication date: 1988-01-01T00:00:00Z
review text: Let L be a bounded operator in a Hilbert space such that Im L is a trace class operator. Let \(E_{\lambda_ n}\) be the family of eigenspaces of L corresponding to the eigenvalues \(\lambda_ n\) \((n=1,2,...)\). The completeness of \(\{E_{\lambda_ n}\}\) is assumed. Necessary and sufficient conditions are given for the uniform minimality of \(\{E_{\lambda_ n}\}\) and the validity of the following assertion: \(E_{\lambda_ n}\) is a Riesz base.
Mathematics Subject Classification ID: 47A70
Mathematics Subject Classification ID: 47B44
Mathematics Subject Classification ID: 46B15
zbMATH DE Number: 4132951
zbMATH Keywords: trace class operator
zbMATH Keywords: uniform minimality
zbMATH Keywords: Riesz base
MaRDI profile type: Publication
cites work: Q3889609
cites work: Q5830030
cites work: On singularities admitting perturbations with a small number of critical values
full work available at URL: https://doi.org/10.1007/bf01077426
OpenAlex ID: W1971300218
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 4132951