Absolutely summing linear operators into spaces with no finite cotype
Botelho, Geraldo ; Pellegrino, Daniel
Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, p. 373-378 / Harvested from Project Euclid
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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.
Publié le : 2009-05-15
Classification:  Banach spaces,  summing linear operators,  dominated multilinear mappings,  47B10,  46G25 
@article{1244038147,
     author = {Botelho, Geraldo and Pellegrino, Daniel},
     title = {Absolutely summing linear operators into spaces with no finite cotype},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 373-378},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1244038147}
}

Botelho, Geraldo; Pellegrino, Daniel. Absolutely summing linear operators into spaces with no finite cotype. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp.  373-378. http://gdmltest.u-ga.fr/item/1244038147/