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A useful lemma for Lagrange multiplier rules in infinite dimension.
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.
Cited literature [3 references]
https://hal-paris1.archives-ouvertes.fr/hal-01173774
Contributor : Mohammed Bachir <>
Submitted on : Tuesday, July 7, 2015 - 9:07:37 PM
Last modification on : Sunday, January 19, 2020 - 6:38:38 PM
Document(s) archivé(s) le : Thursday, October 8, 2015 - 3:39:42 PM
Contributor : Mohammed Bachir <>
Submitted on : Tuesday, July 7, 2015 - 9:07:37 PM
Last modification on : Sunday, January 19, 2020 - 6:38:38 PM
Document(s) archivé(s) le : Thursday, October 8, 2015 - 3:39:42 PM
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Lemme-Baire1.pdf
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