Resolvent formulas of general type and its application to point interactions
type: Item
instance of: scholarly article
title: Resolvent formulas of general type and its application to point interactions
zbMATH Open document ID: 1006.47016
DOI: 10.1007/PL00001381
author: S. T. Kuroda
author: Hiroshi Nagatani
published in: Journal of Evolution Equations
publication date: 2003-02-27T00:00:00Z
review text: In J. Funct. Anal. 130, No.~2, 345-356 (1995; Zbl 0823.47015), \textit{A. Kiselev} and \textit{B. Simon} considered rank one singular perturbations of general type and gave a construction of the perturbed operator via a so-called resolvent formula. This resolvent formula is generalized in this paper to a rather wide class of closed operators. An application to point interactions in one dimension is given.
reviewed by: Cătălin Badea
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 81Q10
zbMATH DE Number: 1757483
zbMATH Keywords: resolvent formula
zbMATH Keywords: singular interaction
zbMATH Keywords: point interaction
zbMATH Keywords: rank one singular perturbations
zbMATH Keywords: closed operators
MaRDI profile type: Publication
full work available at URL: pl00001381
OpenAlex ID: W1965557409
Recommended article: Resolvent convergence of sphere interactions to point interactions
Recommended article: Q3392351
Recommended article: Q4802256
Recommended article: Q3404709
Recommended article: Generalized resolvents of operators generated by integral equations
Recommended article: Generalized Resolvent Equations and Unsymmetric Dirichlet Spaces
Recommended article: Q3828547
Recommended article: Q3070027
Recommended article: Q4524198
Recommended article: Resolvant Generalise Et Separation Des Points Singuliers Quasi-Fredholm
description: scientific article; zbMATH DE number 1757483