Comptes Rendus. Mathématique (Nov 2023)
A formula for the sum of $n$ weak$^\star $ closed sets in $L^\infty $
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.
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