Full measure of a set of singular continuous measures

On the space of structurally similar measures, we construct a nontrivial measure m such that the subclass of all purely singular continuous measures is a set of full m-measure.

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Bibliographische Detailangaben
Datum:2009
Hauptverfasser: Koshmanenko, V. D., Кошманенко, В. Д.
Format: Artikel
Sprache:Ukrainisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2009
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/3003
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
Beschreibung
Zusammenfassung:On the space of structurally similar measures, we construct a nontrivial measure m such that the subclass of all purely singular continuous measures is a set of full m-measure.