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.
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https://hal-paris1.archives-ouvertes.fr/hal-01164797
Contributor : Mohammed Bachir <>
Submitted on : Wednesday, June 17, 2015 - 10:47:19 PM
Last modification on : Monday, November 27, 2017 - 2:14:02 PM
Long-term archiving on : Tuesday, September 15, 2015 - 6:07:46 PM

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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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