Geodesic
An alternative Dunford-Pettis Property
Studia Mathematica, Tome 125 (1997) no. 2, pp. 143-159

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

An alternative to the Dunford-Pettis Property, called the DP1-property, is introduced. Its relationship to the Dunford-Pettis Property and other related properties is examined. It is shown that $ℓ_p$-direct sums of spaces with DP1 have DP1 if 1 ≤ p ∞. It is also shown that for preduals of von Neumann algebras, DP1 is strictly weaker than the Dunford-Pettis Property, while for von Neumann algebras, the two properties are equivalent.
DOI : 10.4064/sm-125-2-143-159
Keywords: Dunford-Pettis Property, Kadec-Klee Property

Walden Freedman 1

1 
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Walden Freedman. An alternative Dunford-Pettis Property. Studia Mathematica, Tome 125 (1997) no. 2, pp. 143-159. doi: 10.4064/sm-125-2-143-159

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