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On Sets of Density Zero
Authors:Juan Carlos Ferrando
Affiliation:1. Centro de Investigación Operativa, Universidad Miguel Hernández., E-03202, Elche (Alicante), Spain
Abstract:In this note we show that the normed space of the simple functions associated to the ring of all subsets of ? of density zero is baireled, answering in the affirmative a question raised in [6]. This fact provides a new extension of Nikodým boundedness theorem.
Keywords:
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