A formula for the sum of $n$ weak$^\star $ closed sets in $L^\infty $

In this note, we derive an equation which describes the closure of a particular set comprising $n-$valued functions. This result provides an answer to a long standing question for which the particular case $n=2$ had been known and used frequently in the optimal control problems.

Bibliographic Details
Main Authors: Zivari-Rezapour, Mohsen, Liu, Yichen, Emamizadeh, Behrouz
Format: Article
Language:English
Published: Académie des sciences 2023-11-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.520/