This is an announcement for the paper "A useful lemma for Lagrange multiplier rules in infinite dimension" by Mohammed Bachir and Joel Blot.
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.
Archive classification: math.FA
Submitted from: mohammed.bachir@univ-paris1.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1507.01919
or