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arXiv · 1803.00351

The $p$-Gelfand Phillips Property in Spaces of Operators and Dunford-Pettis like sets

Ioana Ghenciu
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Abstract

The $p$-Gelfand Phillips property ($1\le p<\infty$) 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 $T:X\to Y$ is weakly compact, for every Banach space $Y$.

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Ioana Ghenciu. 2018-03-01. The $p$-Gelfand Phillips Property in Spaces of Operators and Dunford-Pettis like sets. https://arxiv.org/abs/1803.00351

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