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

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… Click to show full 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.

Keywords: operators dunford; phillips property; spaces operators; gelfand phillips; property; dunford pettis

Journal Title: Acta Mathematica Hungarica
Year Published: 2018

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