This is an announcement for the paper "Aronszajn's criterion for Euclidean space" by R.D. Arthan. Abstract: We give a simple proof of a characterization of euclidean space due to Aronszajn and derive a well-known characterization due to Jordan & von Neumann as a corollary. Archive classification: math.GM math.FA Mathematics Subject Classification: 46B20; 46C05 Remarks: 1 figure The source file(s), 73.bbl: 714 bytes 73.tex: 17428 bytes 73a.eps: 11329 bytes, is(are) stored in gzipped form as 0910.0608.tar.gz with size 9kb. The corresponding postcript file has gzipped size 30kb. Submitted from: rda@lemma-one.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0910.0608 or http://arXiv.org/abs/0910.0608 or by email in unzipped form by transmitting an empty message with subject line uget 0910.0608 or in gzipped form by using subject line get 0910.0608 to: math@arXiv.org.