This is an announcement for the paper “Skew-symmetric operators and reflexivity” by Chafiq Benhida, Kamila Klis-Garlicka and Marek Ptak. Abstract: In contrast to the subspaces of all C-symmetric operators, we show that the subspaces of all skew-C symmetric operators are reflexive and even hyperreflexive with the constant $\kappa(\C^s)\leqslant 3$. The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1605.05724