dp1 and completely continuous operators
Clicks: 59
ID: 164163
2003
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Abstract
W. Freedman introduced an alternate to the
Dunford-Pettis property, called the DP1 property,
in 1997. He showed that for 1≤p<∞,
(⊕α∈𝒜Xα)p has the DP1 property if and only if each Xα does. This is not the case for (⊕α∈𝒜Xα)∞. In
fact, we show that (⊕α∈𝒜Xα)∞ 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.
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| Reference Key |
bator2003internationaldp1
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|---|---|
| Authors | ;Elizabeth M. Bator;Dawn R. Slavens |
| Journal | structural engineering and mechanics |
| Year | 2003 |
| DOI |
10.1155/S0161171203302315
|
| URL | |
| Keywords |
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