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

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http://front.math.ucdavis.edu/0903.0583

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http://arXiv.org/abs/0903.0583

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