Tightness conditions and integrability of the sequential weak upper limit of a sequence of multifunctions
Saadoune, Mohamed; Hess, Christian; Castaing, Charles (2006-09), Tightness conditions and integrability of the sequential weak upper limit of a sequence of multifunctions, in Yamazaki, A.; Kusuoka, S., Advances in mathematical economics, Springer : Berlin, p. 11-44
External document linkhttp://dx.doi.org/10.1007/978-4-431-77784-7_2
Book titleAdvances in mathematical economics
Book authorYamazaki, A.; Kusuoka, S.
Number of pages158 p.
MetadataShow full item record
Abstract (EN)Various notions of tightness for measurable multifunctions are introduced and compared. They are used to derive results on the existence of integrable selections for the sequential weak upper limit of a sequence of multifunctions. Similar questions are examined for multifunctions with values in a dual space. Some results are particularized in the single-valued case, and applications to the multidimensional Fatou Lemma, both in the primal and in the dual space, are derived. This is achieved under conditions weaker than or noncomparable to L 1-boundedness.
Subjects / KeywordsFatou’s Lemma in several dimensions; Measurable selection; Upper limit of a sequence of multifunctions; Tightness conditions
Showing items related by title and author.
The Largest Class of Closed Convex Valued Multifunctions for which Effros Measurability and Scalar Measurability Coincide Hess, Christian; Barbati, Alberto (1998) Article accepté pour publication ou publié
Sustainable Management of the Upper Rhine River and Its Alluvial Plain: Lessons from Interdisciplinary Research in France and Germany Schmitt, Laurent; Beisel, Jean-Nicolas; Preusser, Franck; De Jong, Carmen; Wantzen, Karl Matthias; Chardon, Valentin; Staentzel, Cybill; Eschbach, David; Damm, Christian; Rixhon, Gilles; Salomon, Ferréol; Glaser, Rüdiger; Himmelsbach, Iso; Meinard, Yves; Dumont, Serge; Hardion, Laurent; Houssier, Jérôme; Rambeau, Claire; Chapkanski, Stoil; Brackhane, Sébastien (2020) Chapitre d'ouvrage
Three discussions of the paper "sequential quasi-Monte Carlo sampling", by M. Gerber and N. Chopin Arbel, Julyan; Prünster, Igor; Robert, Christian P.; Ryder, Robin J. (2015-05) Article accepté pour publication ou publié