The inf-convolution between algebra and optimization. Applications to the Banach-Stone theorem.

Mohammed Bachir 1
1 Equations d'evolution
SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)
Abstract : This work generalize and extend results obtained recently in [2] from the Banach spaces framework to the groups framework. We study abstract classe of functions monoids for the inf-convolution struture and gives a complete description of the group of unit of such monoids. We then apply this results to obtain various versions of the Banach-Stone theorem for the inf-convolution struture in the group framework. We also give as consequence an algebraic proof of the Banach-Dieudonée theorem. Our techniques are based on a new optimization result.
Type de document :
Pré-publication, Document de travail
2015
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https://hal-paris1.archives-ouvertes.fr/hal-01164797
Contributeur : Mohammed Bachir <>
Soumis le : mercredi 17 juin 2015 - 22:47:19
Dernière modification le : lundi 27 novembre 2017 - 14:14:02
Document(s) archivé(s) le : mardi 15 septembre 2015 - 18:07:46

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Inf-conv-alg.Hal.pdf
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  • HAL Id : hal-01164797, version 1

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Mohammed Bachir. The inf-convolution between algebra and optimization. Applications to the Banach-Stone theorem.. 2015. 〈hal-01164797〉

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