This is an announcement for the paper “The Bishop-Phelps-Bollobás property and absolute sums” by Yun Sung Choi<https://arxiv.org/search/math?searchtype=author&query=Choi%2C+Y+S>, Sheldon Dantas<https://arxiv.org/search/math?searchtype=author&query=Dantas%2C+S>, Mingu Jung<https://arxiv.org/search/math?searchtype=author&query=Jung%2C+M>, Miguel Martín<https://arxiv.org/search/math?searchtype=author&query=Mart%C3%ADn%2C+M>. Abstract: In this paper we study conditions assuring that the Bishop-Phelps-Bollob\'as property (BPBp, for short) is inherited by absolute summands of the range space or of the domain space. Concretely, given a pair (X, Y) of Banach spaces having the BPBp, (a) if Y1 is an absolute summand of Y, then (X, Y1) has the BPBp; (b) if X1 is an absolute summand of X of type 1 or \infty, then (X1, Y) has the BPBp. Besides, analogous results for the BPBp for compact operators and for the density of norm attaining operators are also given. We also show that the Bishop-Phelps-Bollob\'as property for numerical radius is inherited by absolute summands of type 1 or \infty. Moreover, we provide analogous results for numerical radius attaining operators and for the BPBp for numerical radius for compact operators. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1806.09366