A note on the Schwartz space B(R(sup n)) endowed with the strict topology (Q1822726)
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scientific article; zbMATH DE number 4113291
| Language | Label | Description | Also known as |
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| English | A note on the Schwartz space B(R(sup n)) endowed with the strict topology |
scientific article; zbMATH DE number 4113291 |
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A note on the Schwartz space B(R(sup n)) endowed with the strict topology (English)
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1990
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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)].
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Schwartz space
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strict topology
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