This is an announcement for the paper "Some intersections of Lorentz spaces" by F. Abtahi, H. G. Amini, H. A. Lotfi, and A. Rejali. Abstract: Let (X,\mu) be a measure space. For p, q\in (0,\infty] and arbitrary subsets P,Q of (0,\infty], we introduce and characterize some intersections of Lorentz spaces, denoted by ILp,Q(X,\mu), ILJ,q(X,\mu) and ILJ,Q(X,\mu). Archive classification: math.FA Mathematics Subject Classification: 43A15, 43A20 Remarks: 10 pages, 0 figures Submitted from: f.abtahi@sci.ui.ac.ir The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1502.00159 or http://arXiv.org/abs/1502.00159