Partially integral operators
type: Item
instance of: scholarly article
title: Partially integral operators
zbMATH Open document ID: 0694.47037
DOI: 10.1007/BF00971264
author: V. B. Korotkov
published in: Siberian Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: A partially integral operator T is an operator of the form \[ Tf(s)=\int_{X}K(s,t)f(t)d\mu (t), \] where (X,\(\mu)\) is a space with measure. A necessary and sufficient condition for an operator T: \(L_ p(X,\mu)\to M(Y,\nu)\) to be partially integral is derived and it is proved that in separable \(L_ 2(X,\mu)\) every bounded operator T has a representation \(T=AB\) with partially integral operator A and Carleman integral operator B; this assertion without the word ``partially'' is wrong.
Mathematics Subject Classification ID: 47Gxx
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 45P05
zbMATH DE Number: 4136831
zbMATH Keywords: A partially integral operator
zbMATH Keywords: Carleman integral operator
MaRDI profile type: Publication
cites work: Q5627258
cites work: Q3041809
full work available at URL: https://doi.org/10.1007/bf00971264
OpenAlex ID: W2089716350
description: scientific article; zbMATH DE number 4136831