Abstract
We study delta-points in Banach spaces generated by adequate families , where . When , we prove that neither nor its dual contain delta-points. Under the extra assumption that is regular, we prove that the same is true when . In particular, the Schreier spaces and their duals fail to have delta-points. If consists only of finite sets, we are able to rule out the existence of delta-points in and Daugavet-points in its dual.
We also show that if is polyhedral, then it is either (I)-polyhedral or (V)-polyhedral (in the sense of Fonf and Veselý).
Citation
Trond A. Abrahamsen. Vegard Lima. André Martiny. "Delta-points in Banach spaces generated by adequate families." Illinois J. Math. 66 (3) 421 - 434, September 2022. https://doi.org/10.1215/00192082-10123638
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