Sobre limites inductivos estrictos numerables

• Marquina, Antonio ^[1]
  1. [1] Universitat de València

     Universitat de València

     Valencia, España

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 26, Fasc. 1, 1975, págs. 5-12
• Idioma: español
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• Resumen

  • In this paper we give some extensions of certain results of M. Valdivia [3], which generalize the results given by M. De Wilde and C. Houet in [1]. More precisely we eliminate the conditions of barrelledness in [3] and [1] and we obtain the same results in a wider class of locally convex spaces. As consequence we give conditions for the inheritance of completeness in the sense of Mackey for countable strict inductive limits.