dc.contributor.author |
Papageorgiou, NS |
en |
dc.date.accessioned |
2014-03-01T01:09:07Z |
|
dc.date.available |
2014-03-01T01:09:07Z |
|
dc.date.issued |
1992 |
en |
dc.identifier.issn |
0022-247X |
en |
dc.identifier.uri |
https://dspace.lib.ntua.gr/xmlui/handle/123456789/10854 |
|
dc.subject |
banach space |
en |
dc.subject |
Random Set |
en |
dc.subject |
Weak Convergence |
en |
dc.subject.classification |
Mathematics, Applied |
en |
dc.subject.classification |
Mathematics |
en |
dc.title |
Weak convergence of random sets in Banach spaces |
en |
heal.type |
journalArticle |
en |
heal.identifier.primary |
10.1016/0022-247X(92)90136-2 |
en |
heal.identifier.secondary |
http://dx.doi.org/10.1016/0022-247X(92)90136-2 |
en |
heal.language |
English |
en |
heal.publicationDate |
1992 |
en |
heal.abstract |
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 |
heal.publisher |
ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS |
en |
heal.journalName |
Journal of Mathematical Analysis and Applications |
en |
dc.identifier.doi |
10.1016/0022-247X(92)90136-2 |
en |
dc.identifier.isi |
ISI:A1992HG95000021 |
en |
dc.identifier.volume |
164 |
en |
dc.identifier.issue |
2 |
en |
dc.identifier.spage |
571 |
en |
dc.identifier.epage |
589 |
en |