Abstract
In this paper we introduce p-Dunford–Pettis completely continuous operators and study Banach spaces with the wp-Dunford–Pettis relative compact property (wp-DPrcP). We study the behaviour of p-Dunford–Pettis completely operators on spaces with this property. We give sufficient conditions for spaces of operators to have the wp-DPrcP.
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Communicated by Gerald Teschl.
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Ghenciu, I. Banach spaces in which weakly p-Dunford–Pettis sets are relatively compact. Monatsh Math 191, 719–733 (2020). https://doi.org/10.1007/s00605-020-01374-y
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DOI: https://doi.org/10.1007/s00605-020-01374-y
Keywords
- Weakly p-Dunford–Pettis sets
- p-Dunford–Pettis completely continuous operators
- Spaces of compact operators