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 various 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.
Citation
Geraldo Botelho. Daniel Pellegrino. "Absolutely summing linear operators into spaces with no finite cotype." Bull. Belg. Math. Soc. Simon Stevin 16 (2) 373 - 378, May 2009. https://doi.org/10.36045/bbms/1244038147
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