This is an announcement for the paper "The weak Banach-Saks property for function spaces" by Guillermo P. Curbera and Werner J. Ricker. Abstract: We establish the weak Banach-Saks property for function spaces arising as the optimal domain of an operator. Archive classification: math.FA Mathematics Subject Classification: 46E30, 46B20, 46G10 Submitted from: curbera@us.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1512.05728 or http://arXiv.org/abs/1512.05728