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The p-Gelfand–Phillips property in spaces of operators and Dunford–Pettis like sets

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Abstract

The p-Gelfand–Phillips property (1 \({\leq}\) p < ∞) is studied in spaces of operators. Dunford–Pettis type like sets are studied in Banach spaces. We discuss Banach spaces X with the property that every p-convergent operator T: X \({\rightarrow}\) Y is weakly compact, for every Banach space Y.

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  1. Mathematics Department, University of Wisconsin–River Falls, River Falls, Wisconsin, 54022, USA

    I. Ghenciu

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Ghenciu, I. The p-Gelfand–Phillips property in spaces of operators and Dunford–Pettis like sets. Acta Math. Hungar. 155, 439–457 (2018). https://doi.org/10.1007/s10474-018-0836-5

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  • DOI: https://doi.org/10.1007/s10474-018-0836-5

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