Un recíproco de un teorema de A. Wilansky

Abstract

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.