On the inverse of integral operators with kernel operators
type: Item
instance of: scholarly article
title: On the inverse of integral operators with kernel operators
zbMATH Open document ID: 0854.45005
published in: Journal of Integral Equations and Applications
publication date: 1997-01-22T00:00:00Z
review text: The author studies the boundedness of a special class of integral operators in Hilbert space. A simple necessary condition is given for the considered operator to be a Carleman type operator. By studying the inverse of the integral operator the author provides a new method for the inversion of an integral equation of Carleman type. The theory presented is illustrated by two examples.
Mathematics Subject Classification ID: 45P05
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 885488
zbMATH Keywords: inversion of operators
zbMATH Keywords: boundedness
zbMATH Keywords: integral operators
zbMATH Keywords: Hilbert space
zbMATH Keywords: Carleman type operator
zbMATH Keywords: inverse
author: Amin Boumenir
reviewed by: Lechoslaw Hącia
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/jiea/1181075894
OpenAlex ID: W2069792141
cites work: Q5507934
cites work: A Comparison Theorem for Selfadjoint Operators
cites work: Q3205657
cites work: Analytic functions in a normed ring
cites work: Q5610019
cites work: Q5732663
cites work: Q3996935
DOI: 10.1216/JIEA/1181075894
description: scientific article; zbMATH DE number 885488