S-completeness and closed graph theorems

• Autores: Santiago Díaz Madrigal
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 42, Fasc. 3, 1991, págs. 253-263
• Idioma: inglés
• Títulos paralelos:
  • Completitud S y teoremas de grafos cerrados
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• Resumen

  • 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 $\ell_1$