Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, EpiSciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Abstract : We study the notion of {\it finitely determined functions} defined on a topological vector space $E$ equipped with a biorthogonal system. This notion will be used to obtain a necessary and sufficient condition for a convex function to attain a minimum at some point. An application to the Karush-Kuhn-Tucker theorem will be given. For real-valued convex functions defined on a Banach space with a Schauder basis, the notion of finitely determined function coincides with the classical continuity but outside the convex case there are many finitely determined nowhere continuous functions.
https://hal-paris1.archives-ouvertes.fr/hal-01713851 Contributor : Mohammed BachirConnect in order to contact the contributor Submitted on : Saturday, March 2, 2019 - 7:19:42 PM Last modification on : Friday, May 6, 2022 - 4:50:07 PM Long-term archiving on: : Friday, May 31, 2019 - 1:53:42 PM
Files
Restricted access
To satisfy the distribution rights of the publisher, the document is embargoed
until : 2023-05-12