Extension of linear 0-continuous operators
type: Item
instance of: scholarly article
title: Extension of linear 0-continuous operators
zbMATH Open document ID: 0637.46003
DOI: 10.1007/BF00970226
author: A. V. Sobolev
author: V. I. Sobolev
published in: Siberian Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: A generalization of the classical Kantorovitch linear positive operator extension theorem is presented. The authors omit the assumption that the original domain (of the operator \(A_ 0)\) \(X_ 0\) majorises the whole space X. The main tool is the possibility to contruct to every \(x\in X\) \(+\) a sequence \((x_ n)_ n\subset X_ 0\) such that \(x_ n\nearrow x\) and \((A_ 0(x_ n))_ n\) is bounded.
Mathematics Subject Classification ID: 46A22
Mathematics Subject Classification ID: 47B60
Mathematics Subject Classification ID: 46A40
zbMATH DE Number: 4038479
zbMATH Keywords: Kantorovitch linear positive operator extension theorem
reviewed by: Beloslav Riečan
MaRDI profile type: Publication
cites work: Q5795278
cites work: Q3283133
cites work: Q4119629
full work available at URL: https://doi.org/10.1007/bf00970226
OpenAlex ID: W2011544974
Recommended article: The extension of linear operators
Recommended article: On the extension of linear operators
Recommended article: Q4440817
Recommended article: On linear extension operators
Recommended article: Linear extension operators of bounded norms
Recommended article: Extension of continuous linear operators on Cb(X, E)
Recommended article: Q4002763
Recommended article: Linear extensions associated with abstract functional operators
Recommended article: On continuous linear operators extending metrics
Recommended article: Q3802103
description: scientific article; zbMATH DE number 4038479