Zohry, Mohamed:
On multivalued martingales, multimeasures and multivalued Radon-Nikodym property
Bollettino dell'Unione Matematica Italiana Serie 8 7-B (2004), fasc. n.2, p. 453-468, Unione Matematica Italiana (English)
pdf (284 Kb), djvu (208 Kb). | MR2072947 | Zbl 1123.46302
Sunto
Sia $X$ uno spazio di Banach reale, separabile e $\mathcal{K}_{c}(X)$ la classe dei sottoinsiemi non vuoti, chiusi, limitati e convessi di $X$. Si dimostra un risultato di rappresentazione per martingale essenzialmente limitate a valori in $\mathcal{K}_{c}(X)$. Quindi rivolgiamo la nostra attenzione al legame tra misure multivoche e rappresentazioni di Riesz a valori multivoci. Infine, diamo la versione multivoca del teorema di Radon-Nikodym.
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Con il contributo del Ministero per i Beni e le Attività Culturali