A useful lemma for Lagrange multiplier rules in infinite dimension.

Mohammed Bachir (1) , Joël Blot (1)

1 Equations d'evolution

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.

Domains: Functional Analysis [math.FA]

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