A projection property and weak sequential completeness of alfa-duals

• Autores: Charles Swartz, Christopher E. Stuart
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 43, Fasc. 2, 1992, págs. 177-185
• Idioma: inglés
• Títulos paralelos:
  • Una propiedad de proyección y completitud secuencial débil de espacios alfa-duales
• Enlaces
  • Texto completo
• Resumen

  • In [7] the Hahn-Schur Theorem from summability was used to give a simple proof of a result of Bennett on the weak sequential completeness of the $\alpha$-dual of a monotone sequence space ([2]). In this note we point out that the same method of proof employed in [7] can be used to give a generalization of Bennett’s result to a wider class of sequence spaces than the monotone spaces. As was the case in [7], the methods are also applicable to vector-valued sequence spaces.