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A useful lemma for Lagrange multiplier rules in infinite dimension.

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SAMM - 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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Preprints, Working Papers, ...

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https://hal-paris1.archives-ouvertes.fr/hal-01173774
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Submitted on : Tuesday, July 7, 2015 - 9:07:37 PM
Last modification on : Friday, May 6, 2022 - 4:50:07 PM
Long-term archiving on: : Thursday, October 8, 2015 - 3:39:42 PM

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• HAL Id : hal-01173774, version 1

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Mohammed Bachir, Joël Blot. A useful lemma for Lagrange multiplier rules in infinite dimension.. 2015. ⟨hal-01173774⟩

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