A note on natural tensor products containing complemented copies of \(c_0\)
type: Item
instance of: scholarly article
title: A note on natural tensor products containing complemented copies of \(c_0\)
zbMATH Open document ID: 0893.46005
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1997-08-24T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108401
review text: Summary: Let \(H\) be a Fréchet lattice containing a positive sequence equivalent to the unit basis of \(c_0\). We prove that the natural tensor product \(H\underset\mu{\widehat{\otimes}} X\) contains a complemented subspace isomorphic to \(c_0\) for every infinite-dimensional Banach space \(X\), which generalizes a previous result of Cembranos and Freniche.
Mathematics Subject Classification ID: 46A32
Mathematics Subject Classification ID: 46B25
Mathematics Subject Classification ID: 46B28
zbMATH DE Number: 1021763
zbMATH Keywords: Fréchet lattice
zbMATH Keywords: unit basis
zbMATH Keywords: tensor product
zbMATH Keywords: complemented subspace isomorphic to \(c_0\)
author: J. A. López Molina
author: M. J. Rivera
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1021763