Conditions for the finiteness of the singular spectrum in the self- adjoint Friedrichs model
type: Item
instance of: scholarly article
title: Conditions for the finiteness of the singular spectrum in the self- adjoint Friedrichs model
zbMATH Open document ID: 0724.47010
DOI: 10.1007/BF01077344
author: Serguei Naboko
author: S. I. Yakovlev
publication date: 1990-01-01T00:00:00Z
review text: The perturbed operators in the Friedrichs model is defined as follows \((u\in L_ 2({\mathbb{R}}))\) \[ (Lu)\quad (x)=x\cdot u(x)+\int_{{\mathbb{R}}}v(x,t)u(t)dt. \] The authors investigate the singular spectrum for this operator. This generalizes some previously known results of the first author [see Ark. Mat. 25, No.1, 115-140 (1987; Zbl 0632.47012)]. The results of this article are only announced. The proof of the results is absent.
reviewed by: S.D.Karakozov
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47B06
Mathematics Subject Classification ID: 45P05
zbMATH DE Number: 4194509
zbMATH Keywords: perturbed operators in the Friedrichs model
zbMATH Keywords: singular spectrum
MaRDI profile type: Publication
cites work: Q5526486
cites work: The singular spectrum of the weakly perturbed multiplication operator
cites work: Uniqueness theorems for operator-valued functions with positive imaginary part, and the singular spectrum in the selfadjoint Friedrichs model
cites work: Q3712982
cites work: Q3922907
full work available at URL: https://doi.org/10.1007/bf01077344
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published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 4194509