Sur les familles compactes de fonctions mesurables
J. Kisyński (1960)
Colloquium Mathematicae
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J. Kisyński (1960)
Colloquium Mathematicae
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Danuta Przeworska-Rolewicz (1959)
Annales Polonici Mathematici
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Gustave Choquet, Ciprian Foias (1975)
Annales de l'institut Fourier
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Soit un opérateur linéaire positif sur (où est un compact). On montre que si inf. , la suite des ) converge uniformément vers 0, et que si sup. la suite des converge uniformément vers . Puis on applique ces deux énoncés à l’étude des suites : et ; on donne en particulier plusieurs critères de convergence uniforme de ces suites.
Luca Pratelli (1992)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The problem of finding simple additional conditions, for a weakly convergent sequence in , which would suffice to imply strong convergence has been widely studied in recent years. In this Note we study this problem for Banach valued random vectors, by replacing weak convergence with a less restrictive assumption. Moreover, all the additional conditions we consider are also necessary for strong convergence, and they depend only on marginal distributions.
Casimir Kuratowski (1956)
Fundamenta Mathematicae
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J. Marcinkiewicz (1939)
Studia Mathematica
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Dang Ngoc Nghiem (1970)
Annales de l'I.H.P. Probabilités et statistiques
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