A construction of a base for the m fold tensor product of a Banach space
type: Item
instance of: scholarly article
title: A construction of a base for the m fold tensor product of a Banach space
zbMATH Open document ID: 0681.46058
DOI: 10.1155/S0161171289000335
author: Rohan Hemasinha
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46404
review text: Let E be a Banach space with Schauder base \((x_ n)\) and \(E^ m\) the completion of the m fold tensor product with respect to a reasonable cross norm. The author provides an enumeration scheme, different from [\textit{B. R. Gelbaum} et al, Pac. J. Math. 11, 1281-1286 (1961; Zbl 0106.086)], to construct a Schauder base \((z_ n)\) in terms of \((x_ n)\) for \(E^ m\).
Mathematics Subject Classification ID: 46M05
Mathematics Subject Classification ID: 46B15
zbMATH DE Number: 4115320
zbMATH Keywords: tensor product
zbMATH Keywords: reasonable cross norm
zbMATH Keywords: enumeration scheme
zbMATH Keywords: Schauder base
MaRDI profile type: Publication
OpenAlex ID: W2097258776
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description: scientific article; zbMATH DE number 4115320