ON A FUNCTION MODULE WITH APPROXIMATE HYPERPLANE SERIES PROPERTY
We present a sufficient and necessary condition for a function module space $X$ to have the approximate hyperplane series property (AHSP). As a consequence, we have that the space ${\mathcal{C}}_{0}(L,E)$ of bounded and continuous $E$ -valued mappings defined on the locally compact Hausdorff space $...
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| Veröffentlicht in: | Journal of the Australian Mathematical Society (2001) 2020-06, Vol.108 (3), p.341-348 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We present a sufficient and necessary condition for a function module space
$X$
to have the approximate hyperplane series property (AHSP). As a consequence, we have that the space
${\mathcal{C}}_{0}(L,E)$
of bounded and continuous
$E$
-valued mappings defined on the locally compact Hausdorff space
$L$
has AHSP if and only if
$E$
has AHSP. |
|---|---|
| ISSN: | 1446-7887 1446-8107 |
| DOI: | 10.1017/S1446788719000144 |