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