Alternatives to the Polynomial Dunford-Pettis property and the Holomorphic Dunford-Pettis property, called the PDP1 and HDP1 properties, respectively, are introduced. These are shown to be equivalent to the DP1 property, an alternative Dunford-Pettis property previously introduced by the author, thus mirroring the equivalence of the three original properties.
FREEDMAN, WALDEN (1999) "Alternative Polynomial and Holomorphic Dunford-Pettis Properties," Turkish Journal of Mathematics: Vol. 23: No. 3, Article 6. Available at: https://journals.tubitak.gov.tr/math/vol23/iss3/6