This is an announcement for the paper "The Bishop-Phelps-Bollob\'as property for operators between spaces of continuous functions" by Maria Acosta, Julio Becerra, Yun Sung Choi, Maciej Ciesielski, Sun Kwang Kim, Han Ju Lee, and Miguel Martin. Abstract: We show that the space of bounded and linear operators between spaces of continuous functions on compact Hausdorff topological spaces has the Bishop-Phelps-Bollob\'as property. A similar result is also proved for the class of compact operators from the space of continuous functions vanishing at infinity on a locally compact and Hausdorff topological space into a uniformly convex space, and for the class of compact operators from a Banach space into a predual of an $L_1$-space. Archive classification: math.FA Mathematics Subject Classification: 46B04 Submitted from: mmartins@ugr.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1306.6740 or http://arXiv.org/abs/1306.6740