A generalized collectively compact operator theory with an application to integral equations on unbounded domains
type: Item
instance of: scholarly article
title: A generalized collectively compact operator theory with an application to integral equations on unbounded domains
zbMATH Open document ID: 1055.47017
author: Simon N. Chandler-Wilde
author: Bo Zhang
published in: Journal of Integral Equations and Applications
publication date: 2004-03-17T00:00:00Z
full work available at URL: 10.1.1.65.4927.pdf
review text: The authors develop a generalization of collectively compact operator theory in Banach spaces. The main feature is that the operators involved are not required to be compact in the norm topology. Instead, it is assumed that the image of a bounded set under operator family is sequentially compact in a weak topology. The theory is applied to the investigation of systems of second order integral equations on unbounded domains. This class includes Wiener-Hopf integral equations with \(L^1\) convolution kernels.
reviewed by: Boris Rubin
Mathematics Subject Classification ID: 47B07
Mathematics Subject Classification ID: 47A50
Mathematics Subject Classification ID: 46B50
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 45F15
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 2059966
zbMATH Keywords: collectively compact operator theory
zbMATH Keywords: Banach spaces
zbMATH Keywords: systems of second order integral equations on unbounded domains
MaRDI profile type: Publication
OpenAlex ID: W1964578330
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DOI: 10.1216/JIEA/1031315433
description: scientific article; zbMATH DE number 2059966