Un recíproco de un teorema de A. Wilansky

• Canela , Miguel A. ^[1]
  1. [1] Universitat de Barcelona

     Universitat de Barcelona

     Barcelona, España

     
• Localización: Publicacions matematiques, ISSN 0214-1493, Nº 21, 1980, págs. 163-165
• Idioma: español
• DOI: 10.5565/publmat_21180_40
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• Resumen

  • In this paper, we try to state a reciprocal of . a result of A. Wilansky : The dual of a Mazur space, provided with the topology of convergence on null sequences, is complete. Until now, we have proved this converse when the space is complete with respect to Mackey-convergence . To do this, we use a characterization of this type of completeness given by P. Dierolf.