The characteristic of weak convergence on Banach sequence lattices

• Autores: Tingfu Wang, Baoxiang Wang
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 4-6, 1997, págs. 799-808
• Idioma: inglés
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• Resumen

  • A sufficient and necessary condition for weak convergence of sequences in a class of Banach sequence lattices is obtained. As a direct application, a complete criterion of a weak convergence of sequences in $l^\infty$ is formulated.