{"id":7884,"date":"2021-11-09T09:33:53","date_gmt":"2021-11-09T08:33:53","guid":{"rendered":"https:\/\/www.ummto.dz\/fs\/?p=7884"},"modified":"2021-11-23T14:05:54","modified_gmt":"2021-11-23T13:05:54","slug":"avis-de-soutenance-these-de-doctorat-3eme-cycle-en-mathematiques-specialite-analyse-mathematique-et-applications-de-mr-hassaine-slimane-le11-11-2021","status":"publish","type":"post","link":"https:\/\/www.ummto.dz\/fs\/avis-de-soutenance-these-de-doctorat-3eme-cycle-en-mathematiques-specialite-analyse-mathematique-et-applications-de-mr-hassaine-slimane-le11-11-2021\/","title":{"rendered":"Avis de Soutenance Th\u00e8se de Doctorat en Math\u00e9matiques de Mr HASSAINE Slimane"},"content":{"rendered":"\n[et_pb_section fb_built=\u00a0\u00bb1″ _builder_version=\u00a0\u00bb4.11.4″ _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_row _builder_version=\u00a0\u00bb4.11.4″ _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4″ _builder_version=\u00a0\u00bb4.11.4″ _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.11.4″ _module_preset=\u00a0\u00bbdefault\u00a0\u00bb text_orientation=\u00a0\u00bbjustified\u00a0\u00bb hover_enabled=\u00a0\u00bb0″ global_colors_info=\u00a0\u00bb{}\u00a0\u00bb sticky_enabled=\u00a0\u00bb0″]

Mr.<\/span>HASSAINE Slimane<\/span> <\/strong><\/span><\/p>\n

\u00a0<\/strong>Soutiendra\u00a0 sa th\u00e8se de Doctorat 3\u00e9me Cycle en Math\u00e9matiques Sp\u00e9cialit\u00e9 : Analyse Math\u00e9matique et Applications.
<\/strong><\/span><\/p>\n

Intitul\u00e9: \u00abContribution to the geometry of Besicovitch-Orlicz space of almost periodic functions.<\/span>\u00bb<\/span><\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0
<\/strong><\/span><\/p>\n

Le :\u00a0 11 Novembre 2021<\/span><\/strong> \u00e0 <\/strong>Salle de Visioconf\u00e9rences du Centre des R\u00e9seaux et Syst\u00e8mes<\/span> \u00e0 09h\u00a0:30<\/strong><\/span><\/p>\n

Directeur de Th\u00e8se\u00a0: Mme.<\/strong> BOULAHIA\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Fatiha<\/strong><\/span><\/p>\n

\u00a0Devant le jury d\u2019examen suivant<\/u><\/strong>\u00a0:<\/u><\/strong><\/span><\/p>\n\n\n\n\n\n\n\n\n
Mme RAHMANI\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Leila <\/strong><\/span><\/td>\nProfesseur<\/strong><\/span><\/td>\nUMMTO<\/strong><\/span><\/td>\nPr\u00e9sidente<\/strong><\/span><\/td>\n<\/tr>\n
Mme\u00a0 BOULAHIA\u00a0\u00a0\u00a0\u00a0 Fatiha <\/strong><\/span><\/td>\nMCA<\/strong><\/span><\/td>\nU.B\u00e9jaia <\/strong><\/span><\/td>\nDirectrice de th\u00e8se <\/strong><\/span><\/td>\n<\/tr>\n
Mme BEDOUHENE\u00a0\u00a0\u00a0 Fazia<\/strong><\/span><\/td>\nProfesseur<\/strong><\/span><\/td>\nUMMTO<\/strong><\/span><\/td>\n\u00a0Examinatrice<\/strong><\/span><\/td>\n<\/tr>\n
M. MEZRAG\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Lahc\u00e8ne<\/strong><\/span><\/td>\nProfesseur\u00a0 <\/strong><\/span><\/td>\nU. Med Boudiaf \u2013M\u2019sila<\/strong><\/span><\/td>\n\u00a0Examinateur<\/strong><\/span><\/td>\n<\/tr>\n
M. DAHMANE\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Achour<\/strong><\/span><\/td>\n\u00a0MC HDR<\/strong><\/span><\/td>\nU. Med Boudiaf \u2013M\u2019sila<\/strong><\/span><\/td>\nExaminateur<\/strong><\/span><\/td>\n<\/tr>\n
Mme SMAALI\u00a0\u00a0\u00a0\u00a0\u00a0 Mannal<\/strong><\/span><\/td>\nMCA<\/strong><\/span><\/td>\nUMMTO<\/strong><\/span><\/td>\nExaminatrice<\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

Abstract<\/strong><\/span><\/p>\n

\n

In this thesis we are interested in the geometry of Banach spaces. in particular, the one of\u00a0 the Besicovitch-Orlicz spaces of almost periodic functions \"\".<\/span><\/strong><\/p>\n

\"\" is the closure of the set of generalized trigonometric polynomials relative to the Luxemburg norm and \u03a6 is a convex function with properties similar to those of the power function. Some\u00a0 geometric properties of these spaces, such as uniform and strict convexity, uniform non-squareness, \u03b2-property \u00a0have been already studied.<\/span><\/strong><\/p>\n

Our main objective is to characterize the extreme points of the unit ball of\u00a0\"\" for the both\u00a0 norms: the Luxemburg norm, and the Orlicz norm (equal to the Amemiya norm). The results obtained\u00a0\u00a0 depend closely\u00a0 on\u00a0 the strict convexity and the structural affine intervals of the function \u00a0\u03a6. Thanks to these results, we refound the sufficient conditions for the strict convexity of\u00a0\"\" in the case of the Luxemburg norm. Furthermore,\u00a0\u00a0 some properties of the\u00a0 set of points where the infimum\u00a0 is atteined in\u00a0 Amemya norm are also obtained.<\/span><\/strong><\/p>\n

Keywords<\/strong> :<\/span><\/p>\n

Besicovitch\u2013Orlicz space; extreme point; strict convexity; almost periodic function<\/span><\/strong><\/p>\n

\n

R\u00e9sum\u00e9<\/strong><\/span><\/p>\n

\n

\u00a0Dans cette th\u00e8se, on s’int\u00e9resse \u00e0 la g\u00e9om\u00e9trie des espaces de Banach. En particulier, celle des espaces de Besicovitch-Orlicz de fonctions presque p\u00e9riodiques\"\".<\/span><\/strong><\/p>\n

\u00a0\"\" est la fermeture de l’ensemble des polyn\u00f4mes trigonom\u00e9triques g\u00e9n\u00e9ralis\u00e9s par rapport \u00e0 la norme de Luxemburg et \u03a6 est une fonction convexe ayant des propri\u00e9t\u00e9s similaires \u00e0 celles de la fonction puissance.<\/span><\/strong><\/p>\n

\u00a0Certaines propri\u00e9t\u00e9s g\u00e9om\u00e9triques de ces espaces, telles que la stricte et l’uniforme convexit\u00e9, l’uniforme non-squareness, la propri\u00e9t\u00e9 (\u03b2), ont \u00e9t\u00e9 d\u00e9j\u00e0 \u00e9tudi\u00e9es.<\/span><\/strong><\/p>\n

Notre objectif principal est de caract\u00e9riser les points extr\u00eames de la boule unit\u00e9 de\u00a0\"\" pour la norme de Luxemburg et celle d\u2019Orlicz (\u00e9gale \u00e0 la norme d\u2019Amemya). Les r\u00e9sultats obtenus d\u00e9pendent de la stricte convexit\u00e9 et des intervalles de structure affine de \u03a6. Gr\u00e2ce \u00e0 ces r\u00e9sultats, nous avons retrouv\u00e9 les conditions suffisantes pour la stricte convexit\u00e9\u00a0 de\u00a0\"\" dans le cas de la norme de Luxemburg. Certaines propri\u00e9t\u00e9s de l’ensemble des points o\u00f9 l’infimum est atteint pour la norme d’Amemiya sont aussi obtenues.<\/span><\/strong><\/p>\n

Mots cl\u00e9s\u00a0:<\/strong><\/span><\/p>\n

Espace de Besicovitch<\/em>\u2013Orlicz ; points extr\u00eames ; stricte convexit\u00e9 ; fonctions presque p\u00e9riodiques<\/span><\/strong><\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

\u00a0<\/span><\/strong><\/p>\n

 <\/p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]\n","protected":false},"excerpt":{"rendered":"

Mr.HASSAINE Slimane \u00a0Soutiendra\u00a0 sa th\u00e8se de Doctorat 3\u00e9me Cycle en Math\u00e9matiques Sp\u00e9cialit\u00e9 : Analyse Math\u00e9matique et Applications. Intitul\u00e9: \u00abContribution to the geometry of Besicovitch-Orlicz space of almost periodic functions.\u00bb\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Le :\u00a0 11 Novembre 2021 \u00e0 Salle de Visioconf\u00e9rences du Centre des R\u00e9seaux et Syst\u00e8mes \u00e0 09h\u00a0:30 Directeur de Th\u00e8se\u00a0: Mme. BOULAHIA\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Fatiha \u00a0Devant le jury […]<\/p>\n","protected":false},"author":13,"featured_media":6032,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-7884","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-non-classe"],"yoast_head":"\nAvis de Soutenance Th\u00e8se de Doctorat en Math\u00e9matiques de Mr HASSAINE Slimane - Facult\u00e9 des Sciences<\/title>\n<meta name=\"description\" content=\"Avis de Soutenance Th\u00e8se de Doctorat en Math\u00e9matiques de Mr HASSAINE Slimane.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.ummto.dz\/fs\/avis-de-soutenance-these-de-doctorat-3eme-cycle-en-mathematiques-specialite-analyse-mathematique-et-applications-de-mr-hassaine-slimane-le11-11-2021\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Avis de Soutenance Th\u00e8se de Doctorat en Math\u00e9matiques de Mr HASSAINE Slimane - 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