Multivalued Bourgin’s theorem and applications

Multivalued Bourgin’s theorem and applications

We prove an unbounded multivalued version of classical Bourgin’s theorem. As application, we establish a new convergence results for multivalued martingale with respect to linear topology and slice topology. The Mosco convergence of multivalued martingale is also presented.

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Veröffentlicht in:Annals of functional analysis 2023-07, Vol.14 (3), Article 64
Hauptverfasser: El-Louh, M.’hamed, El-Moustafid, Mohamed, Ezzaki, Fatima, Tahri, Khalid
Format: Artikel
Sprache:eng
Schlagworte:
Functional Analysis
Mathematics
Mathematics and Statistics
Original Paper
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Beschreibung
Zusammenfassung:We prove an unbounded multivalued version of classical Bourgin’s theorem. As application, we establish a new convergence results for multivalued martingale with respect to linear topology and slice topology. The Mosco convergence of multivalued martingale is also presented.
ISSN:2639-7390
2008-8752
DOI:10.1007/s43034-023-00286-w