Integral mappings between Banach spaces
type: Item
instance of: scholarly article
title: Integral mappings between Banach spaces
zbMATH Open document ID: 1030.47503
DOI: 10.1016/S0022-247X(02)00362-1
author: Ignacio Villanueva
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-05-25T00:00:00Z
review text: The author studies integral mappings between Banach spaces. He considers some classes of ``Grothendieck-integral'' (G-integral) and ``Pietsch-integral'' (P-integral) multilinear operators. It is shown that a multilinear operator between Banach spaces is G- or P-integral if and only if its linearization is of the same kind on the injective product of the spaces.
reviewed by: N. Karapetiants
Mathematics Subject Classification ID: 47G10
zbMATH DE Number: 1915732
zbMATH Keywords: integral operators
zbMATH Keywords: multilinear operator
zbMATH Keywords: spaces of continuous functions
zbMATH Keywords: injective tensor product
Wikidata QID: Q62471005
MaRDI profile type: Publication
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full work available at URL: s0022-247x(02)00362-1
OpenAlex ID: W1970072503
description: scientific article; zbMATH DE number 1915732