A useful lemma for Lagrange multiplier rules in infinite dimension.

Mohammed Bachir 1 Joel Blot 1
1 Equations d'evolution
SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)
Abstract : We give some reasonable and usable conditions on a sequence of norm one in a dual banach space under which the sequence does not converges to the origin in the $w^*$-topology. These requirements help to ensure that the Lagrange multipliers are nontrivial, when we are interested for example on the infinite dimensional infinite-horizon Pontryagin Principles for discrete-time problems.
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Submitted on : Tuesday, July 7, 2015 - 9:07:37 PM
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Mohammed Bachir, Joel Blot. A useful lemma for Lagrange multiplier rules in infinite dimension.. 2015. ⟨hal-01173774⟩

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