v2
https://www.raco.cat/index.php/CollectaneaMathematica/article/view/56785
2007-06-27T12:12:23Z
Collectanea Mathematica
1991: Vol.: 42 Núm.: 3; 253-264
$\Sigma$-completeness and closed graph theorems
Díaz Madrigal, Santiago
2007-03-22 00:00:00
url:https://www.raco.cat/index.php/CollectaneaMathematica/article/view/56785
eng
A certain completeness concept, $\Sigma$-completeness, allows us to give some closed graph theorems between spaces whose dual space is weak* $\Sigma$-complete and some classes of Banach spaces in the range space, namely: reflexive Banach spaces, Banach spaces without copy of $\ell_\infty$ and dual spaces of Banach spaces with unconditional basis and without copy of $\ell_1$