This is an announcement for the paper "Cotype and absolutely summing linear operators" by Geraldo Botelho, Daniel Pellegrino and Pilar Rueda. Abstract: Cotype is used in this paper to prove new results concerning the existence of non-absolutely summing linear operators between Banach spaces. We derive consequences that extend/generalize/ complement some classic results. We also point out that some of our results are sharp. Archive classification: math.FA Mathematics Subject Classification: 46G25, 45B20 Remarks: 8 pages The source file(s), linear_results03March2009-without.tex: 40121 bytes, is(are) stored in gzipped form as 0903.0583.gz with size 12kb. The corresponding postcript file has gzipped size 78kb. Submitted from: dmpellegrino@gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0903.0583 or http://arXiv.org/abs/0903.0583 or by email in unzipped form by transmitting an empty message with subject line uget 0903.0583 or in gzipped form by using subject line get 0903.0583 to: math@arXiv.org.