On the Schur, positive Schur and weak Dunford–Pettis properties in Fréchet lattices
نویسندگان
چکیده
We prove some general results on sequential convergence in Frechet lattices that yield, as particular instances, the following regarding a closed ideal \(I\) of Banach lattice \(E\): (i) If two \(E\), and \(E/I\) have positive Schur property (the property, respectively) then third has well; (ii) dual \(E\) also this property; (iii) weak Dunford-Pettis property. Examples applications are provided.
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ژورنال
عنوان ژورنال: Annales Fennici Mathematici
سال: 2021
ISSN: ['2737-0690', '2737-114X']
DOI: https://doi.org/10.5186/aasfm.2021.4642