Multivalued superposition operators in ideal spaces of vector functions. I
type: Item
instance of: scholarly article
title: Multivalued superposition operators in ideal spaces of vector functions. I
zbMATH Open document ID: 0748.47050
DOI: 10.1016/0019-3577(91)90025-3
author: Jürgen Appell
author: Hong Thai Nguyen
author: Peter P. Zabreĭko
published in: Indagationes Mathematicae. New Series
publication date: 1992-09-27T00:00:00Z
review text: The paper is concerned with boundedness properties of nonlinear superposition operators generated by multivalued functions \(f: \Omega\times\mathbb{R}^ m\to{\mathcal P}(\mathbb{R}^ n)\) between ideal spaces ( Banach lattices) of vector functions. In particular, sufficient conditions on the spaces \(X\) and \(Y\) are given under which any superposition operator from \(X\) into \({\mathcal P}(Y)\) is locally bounded or bounded on bounded sets.
reviewed by: Jürgen Appell
Mathematics Subject Classification ID: 47H30
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 46E40
zbMATH DE Number: 60862
zbMATH Keywords: ideal spaces of vector functions
zbMATH Keywords: boundedness properties of nonlinear superposition operators
zbMATH Keywords: Banach lattices
zbMATH Keywords: locally bounded
zbMATH Keywords: bounded on bounded sets
MaRDI profile type: Publication
full work available at URL: 0019-3577(91)90025-3
OpenAlex ID: W4213255377
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description: scientific article; zbMATH DE number 60862