This is an announcement for the paper "A really simple elementary proof of the uniform boundedness theorem" by Alan D. Sokal. Abstract: I give a proof of the uniform boundedness theorem that is elementary (i.e. does not use any version of the Baire category theorem) and also extremely simple. Archive classification: math.FA Mathematics Subject Classification: 46B99 (Primary), 46B20, 46B28 (Secondary) Remarks: LaTex2e, 5 pages Submitted from: sokal@nyu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1005.1585 or http://arXiv.org/abs/1005.1585