This is an announcement for the paper "Positive definite distributions and normed spaces" by Nigel J. Kalton and Marisa Zymonopoulou. Abstract: We answer a question of Alex Koldobsky on isometric embeddings of finite dimensional normed spaces. Archive classification: math.FA Mathematics Subject Classification: 52A21 The source file(s), zymnotes4.tex: 71037 bytes, is(are) stored in gzipped form as 1001.1412.gz with size 21kb. The corresponding postcript file has gzipped size 84kb. Submitted from: marisa.zym@gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1001.1412 or http://arXiv.org/abs/1001.1412 or by email in unzipped form by transmitting an empty message with subject line uget 1001.1412 or in gzipped form by using subject line get 1001.1412 to: math@arXiv.org.