Weak convergence of random sets in Banach spaces

 
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Journal part (EN)
Scientific article (EN)
1992 (EN)
Weak convergence of random sets in Banach spaces (EN)
Papageorgiou, NS (EN)
In this paper we introduce the notion of weak convergence for random sets in a separable Banach space. We study its properties, we prove some weak completeness results, a Dunford-Pettis type compactness theorem, and an analog of Mazur's lemma. Then we present some applications on set valued submartingales, on approximation theory, and on infinite dimensional control systems. © 1992. (EN)
journalArticle (EN)
Weak Convergence (EN)
Mathematics (EN)
banach space (EN)
Random Set (EN)
Mathematics, Applied (EN)
National Technical University of Athens
Digital Library of National Technical University of Athens | Dspace@NTUA
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Δημοσιεύσεις μελών Δ.Ε.Π. σε περιοδικά
Journal of Mathematical Analysis and Applications (EN)
English
1992 (EN)
http://hdl.handle.net/123456789/10854
ISI:A1992HG95000021 (EN)
2 (EN)
589 (EN)
0022-247X (EN)
10.1016/0022-247X(92)90136-2 (EN)
164 (EN)
571 (EN)
ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS (EN)



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