A class of operators from a Banach lattice into a Banach space

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Óscar Blasco
In this paper we study a class of operators from a Banach lattice $X$ into a Banach space $B$. These operators map positive sequences in $weak-l^p$-spaces with values in $X$ into sequences in $l^q$-spaces with values in $B$. We obtain some different characterizations of them an we consider, in particular, the case $X=1^r$.

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Blasco, Óscar. “A class of operators from a Banach lattice into a Banach space”. Collectanea Mathematica, vol.VOL 37, no. 1, pp. 13-22, https://raco.cat/index.php/CollectaneaMathematica/article/view/56963.