Interpolative construction and factorization of operators
type: Item
instance of: scholarly article
title: Interpolative construction and factorization of operators
zbMATH Open document ID: 1277.47029
author: Radosław Szwedek
author: Mieczysław Mastyło
published in: Journal of Mathematical Analysis and Applications
publication date: 2013-03-12T00:00:00Z
review text: The authors investigate Banach operator ideals generated via an interpolative approach determined by quasi-concave functions. A variant of the Pisier factorization theorem for \(\left( p,1\right) \)-summing operators defined on \(C(K)\) spaces is one of the several interesting results of the paper. In the final section, the authors introduce the notion of \(\left( \varphi ,\psi\right) \)-concave operators and obtain connections between \(\left( \varphi,\psi\right) \)-summing and \(\left( \varphi,\psi\right) \)-concave operators. Some classical results are lifted to this generalized setting.
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 46B70
Mathematics Subject Classification ID: 46M35
Mathematics Subject Classification ID: 47L20
zbMATH DE Number: 6143660
zbMATH Keywords: absolutely summing operators
zbMATH Keywords: Banach operator ideals
zbMATH Keywords: interpolation spaces
zbMATH Keywords: factorization
zbMATH Keywords: \((p,q)\)-summing operators
zbMATH Keywords: Banach lattices
zbMATH Keywords: generalized concavity
reviewed by: Daniel Pellegrino
MaRDI profile type: Publication
full work available at URL: j.jmaa.2012.11.036
OpenAlex ID: W2086501411
DOI: 10.1016/J.JMAA.2012.11.036
description: scientific article; zbMATH DE number 6143660