This is an announcement for the paper "Parallelogram norm" by Madjid Mirzavaziri and Mohammad Sal Moslehian. Abstract: Replacing the triangle inequality by \|x+y\|^2\leq 2(\|x\|^2 + \|y\|^2) in the definition of norm we obtain the notion of parallelogram norm. We establish that every parallelogram norm is a norm in the usual sense. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20; 46C05 Remarks: 3 pages The source file(s), Paral1.tex: 4582 bytes, is(are) stored in gzipped form as 0503616.gz with size 2kb. The corresponding postcript file has gzipped size 27kb. Submitted from: msalm@math.um.ac.ir The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0503616 or http://arXiv.org/abs/math.FA/0503616 or by email in unzipped form by transmitting an empty message with subject line uget 0503616 or in gzipped form by using subject line get 0503616 to: math@arXiv.org.