The Case L ∞ $$L_{\infty}$$

Paolo d’Alessandro

Chapter Chapter 16 in On Range Space Techniques, Convex Cones, Polyhedra and Optimization in Infinite Dimensions, 2025, pp 245-254 from Springer

Abstract: Abstract This third chapter on norm optimality and Maximum Principle deals a L ∞ $$ L_{\infty}$$ case. Despite the fact that uniform convexity of the input function space is lost in this case and that we can prove the existence, but not uniqueness of the norm optimal control, we are nevertheless able to derive a full form of the Maximum Principle.

Date: 2025
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DOI: 10.1007/978-3-031-92477-4_16

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