This is an announcement for the paper "Absolutely summing linear operators into spaces with no finite cotype" by Geraldo Botelho and Daniel Pellegrino.

Abstract: Given an infinite-dimensional Banach space $X$ and a Banach space $Y$ with no finite cotype, we determine whether or not every continuous linear operator from $X$ to $Y$ is absolutely $(q;p)$-summing for almost all choices of $p$ and $q$, including the case $p=q$. If $X$ assumes its cotype, the problem is solved for all choices of $p$ and $q$. Applications to the theory of dominated multilinear mappings are also provided.

Archive classification: math.FA

Mathematics Subject Classification: 47B10

Remarks: 7 pages

The source file(s), Botelho-Pellegrino-BullPolish.tex: 22261 bytes, is(are) stored in gzipped form as 0801.2051.gz with size 7kb. The corresponding postcript file has gzipped size 74kb.

Submitted from: dmpellegrino@gmail.com

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http://front.math.ucdavis.edu/0801.2051

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http://arXiv.org/abs/0801.2051

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