DP1 AND COMPLETELY CONTINUOUS OPERATORS
W. Freedman introduced an alternate to the Dunford‐Pettis property, called the DP1 property, in 1997. He showed that for 1 ≤ p < ∞ , has the DP1 property if and only if each X α does. This is not the case for . In fact, we show that has the DP1 property if and only if it has the Dunford‐Pettis pr...
Gespeichert in:
| Veröffentlicht in: | International Journal of Mathematics and Mathematical Sciences Jg. 2003; H. 37; S. 2375 - 2378-180 |
|---|---|
| Hauptverfasser: | , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Hindawi Limiteds
2003
Wiley |
| ISSN: | 0161-1712, 1687-0425 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | W. Freedman introduced an alternate to the
Dunford‐Pettis property, called the DP1 property,
in 1997. He showed that for 1 ≤
p
<
∞
,
has the DP1 property if and only if each
X
α
does. This is not the case for . In
fact, we show that has the DP1 property if and only if it has
the Dunford‐Pettis property. A similar result also
holds for vector‐valued continuous function spaces. |
|---|---|
| Bibliographie: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| ISSN: | 0161-1712 1687-0425 |
| DOI: | 10.1155/S0161171203302315 |