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A useful lemma for Lagrange multiplier rules in infinite dimension.

Mohammed Bachir
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Joël Blot
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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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Dates and versions

hal-01173774 , version 1 (07-07-2015)

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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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