This is an announcement for the paper “The p-Gelfand Phillips Property in Spaces of Operators and Dunford-Pettis like sets” by Ioana Ghenciu<https://arxiv.org/find/math/1/au:+Ghenciu_I/0/1/0/all/0/1>. Abstract: The $p$-Gelfand Phillips property $(1\leq p<\infty)$ 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 $T: X\rightarrow Y$ is weakly compact, for every Banach space $Y$. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1803.00351