학술논문

A formula for the sum of $n$ weak$^\star $ closed sets in $L^\infty $
Document Type
article
Source
Comptes Rendus. Mathématique, Vol 361, Iss G10, Pp 1635-1639 (2023)
Subject
$n-$valued functions
formulation
weak$^\star $ closure
rearrangements
eigenvalues
Mathematics
QA1-939
Language
English
French
ISSN
1778-3569
Abstract
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.