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Resumen de S-completeness and closed graph theorems

Santiago Díaz Madrigal Árbol académico

  • 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 $\ell_1$


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