Estimates for functionals by deviations of the Riesz sums in seminormed spaces

Estimates for functionals by deviations of the Riesz sums in seminormed spaces

Suppose that ( X, p ) is a sermonized space, is a linearly independent system of elements in X , is a sequence of linear bounded functionals such that c k ( x l ) =  δ kl , are the Riesz sums. We prove general assertions concerning estimates from above for the values of semiadditive functionals by d...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2009-05, Vol.159 (1), p.54-66
Hauptverfasser: Dodonov, N. Yu, Zhuk, V. V.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Suppose that ( X, p ) is a sermonized space, is a linearly independent system of elements in X , is a sequence of linear bounded functionals such that c k ( x l ) =  δ kl , are the Riesz sums. We prove general assertions concerning estimates from above for the values of semiadditive functionals by deviations of the Riesz sums p ( x  −  R n,r ( x )). Bibliography: 6 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-009-9426-y