Multilinear variants of Grothendieck's composition theorem
type: Item
instance of: scholarly article
title: Multilinear variants of Grothendieck's composition theorem
zbMATH Open document ID: 1384.47025
author: Dumitrŭ Popa
published in: Operators and Matrices
publication date: 2016-05-19T00:00:00Z
full work available at URL: oam-10-10-abs.pdf
Mathematics Subject Classification ID: 47H60
Mathematics Subject Classification ID: 46B25
Mathematics Subject Classification ID: 46C99
zbMATH DE Number: 6583002
zbMATH Keywords: \(p\)-summing
zbMATH Keywords: multilinear operators
zbMATH Keywords: multiple summing
zbMATH Keywords: Hilbert-Schmidt
zbMATH Keywords: nuclear operators
MaRDI profile type: Publication
OpenAlex ID: W2515895901
DOI: 10.7153/OAM-10-10
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review text: In the paper under review, the author proves two multilinear variants of the seminal Grothendieck composition theorem, which assures that the composition of two 2-summing operators is nuclear. The results invoke the connections between Hilbert-Schmidt and multiple summing operators. Also, some negative examples of multilinear variants of Grothendieck's composition theorem are presented.
reviewed by: N. Albuquerque
description: scientific article; zbMATH DE number 6583002