A note on the Schwartz space B(R(sup n)) endowed with the strict topology
type: Item
instance of: scholarly article
title: A note on the Schwartz space B(R(sup n)) endowed with the strict topology
zbMATH Open document ID: 0679.46030
DOI: 10.1007/BF01191171
author: José Bonet
author: Manuel Maestre
published in: Archiv der Mathematik
publication date: 1990-01-01T00:00:00Z
review text: It is proved that the Schwartz space \({\mathcal B}({\mathbb{R}}^ n)\) endowed with the strict topology defined by P. Dierolf and S. Dierolf is topologically isomorphic to the sequence space s\({\hat \otimes}_{\pi}(\ell_{\infty},\mu (\ell_{\infty},\ell_ 1))\). This proves a conjecture of \textit{P.} and \textit{S. Dierolf} [Pac. J. Math. 108, 51-82 (1983; Zbl 0465.46012)].
reviewed by: José Bonet
Mathematics Subject Classification ID: 46F05
Mathematics Subject Classification ID: 46E10
zbMATH DE Number: 4113291
zbMATH Keywords: Schwartz space
zbMATH Keywords: strict topology
MaRDI profile type: Publication
cites work: Q4100538
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full work available at URL: https://doi.org/10.1007/bf01191171
OpenAlex ID: W2021288963
description: scientific article; zbMATH DE number 4113291