[{"command":"insert","method":null,"selector":".course-modal-ajax-placeholder-957872","data":"\u003Cdiv class=\u0022container content-rte\u0022\u003E\n  \u003Cdiv class=\u0022row\u0022\u003E\n    \u003Cdiv class=\u0022box col-md-6 bg-primary text-white\u0022\u003E\n      \u003Ch2 class=\u0022h1 text-left\u0022\u003E  Cours acc\u00e9l\u00e9r\u00e9 d\u0026#039;analyse fonctionnelle 2025-2026\n\u003C\/h2\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EECTS :\n          3\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ESemestre calendaire :\n          Semestre 2\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ED\u00e9tail du volume horaire\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                          \u003Cspan class=\u0022field__label h4 mt-5 \u0022\u003ECours magistraux :\u003C\/span\u003E\n                                      \u003Cspan\u003E21\u003C\/span\u003E\n                      \u003C\/div\u003E\n                                                                                        \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ELangue d\u0026#039;enseignement\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EAnglais\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EEnseignement \u00e0 distance\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003Enon\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n    \u003Cdiv class=\u0022box col-md-6\u0022\u003E\n                    \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EProgramme \/ plan \/ contenus\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EVersion en fran\u00e7ais :\u003C\/p\u003E\n\u003Cul\u003E\n\u003Cli\u003ERappel d\u0027analyse fonctionnelle (les th\u00e9or\u00e8mes sans les d\u00e9monstrations): Dualit\u00e9, th\u00e9or\u00e8mes de Hahn-Banach, de Baire, de Banach-Steinhaus, du graphe ferm\u00e9.\u003C\/li\u003E\n\u003Cli\u003ETopologie faible et faible-\u00e9toil\u00e9e, th\u00e9or\u00e8me de compacit\u00e9 faible. Applications.\u003C\/li\u003E\n\u003Cli\u003ETh\u00e9orie spectrale dans les espaces de Banach, dont l\u0027alternative de Fredhohlm.\u003C\/li\u003E\n\u003Cli\u003EInterpolation complexe: au moins le th\u00e9or\u00e8me de Riesz-Thorin.\u003C\/li\u003E\n\u003C\/ul\u003E\n\u003Cp\u003EEnglish version\u003C\/p\u003E\n\u003Cul\u003E\n\u003Cli\u003EOverview of basic functional analysis (theorems without proofs): Duality, Ascoli, Hahn-Banach, Baire, Banach-Steinhaus, closed graph theorems.\u003C\/li\u003E\n\u003Cli\u003EWeak and weak-* topology, weak compactness theorem. Applications.\u003C\/li\u003E\n\u003Cli\u003ESpectral theory in Banach spaces, Fredhohm alternative.\u003C\/li\u003E\n\u003Cli\u003EComplex interpolation: at least the Riesz-Thorin theorem.\u003C\/li\u003E\n\u003C\/ul\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n                                        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EBibliographie\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cul\u003E\n\u003Cli\u003EH. Brezis Analyse fonctionnelle, Masson, 1983.\u003C\/li\u003E\n\u003Cli\u003EJ. van Neerven, Functional Analysis, Cambridge University Press, disponible sur https:\/\/arxiv.org\/abs\/2112.11166.\u003C\/li\u003E\n\u003Cli\u003EJ. Bergh, J. Lofstrom, Interpolation spaces, Grund. math Wiss. 223, Springer Verlag 1976.\u003C\/li\u003E\n\u003Cli\u003EG. Weiss, E. Stein., Introduction to Fourier analysis on Euclidean spaces, Princeton University Press, 1971.\u003C\/li\u003E\n\u003Cli\u003EF. Albiac, N. Kalton, Topics in Banach space theory (Chapters I, III), Grad Text Math 233, Springer Verlag 2016.\u003C\/li\u003E\n\u003C\/ul\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ENature de l\u0026#039;\u00e9valuation\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EEvaluation Terminale\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n  \u003C\/div\u003E\n\u003C\/div\u003E\n","settings":null}]