Toubkal : Le Catalogue National des Thèses et Mémoires
Some topological and geometrical properties in general Köthe-Bochner Banach spaces : Study of generalized Cauchy functional equations
dc.contributor.author | Lalaoui Rhali, My Hachem | |
dc.description.collaborator | Bourass, Abdelhamid (Président) | |
dc.description.collaborator | Amrani, Allal (Examinateur) | |
dc.description.collaborator | Akkouchi, Mohamed (Examinateur) | |
dc.description.collaborator | Benabdellah, Houcine (Examinateur) | |
dc.description.collaborator | Riahi, Hassan (Examinateur) | |
dc.description.collaborator | Tihami, Az Eddine (Examinateur et Directeur de la thèse) | |
dc.date.accessioned | 2011-01-24T15:46:03Z | |
dc.date.available | 2011-01-24T15:46:03Z | |
dc.date.issued | 2005-04-25 | |
dc.identifier.uri | http://hdl.handle.net/123456789/7278 | |
dc.description.abstract | Köthe-Bocher Banach spaces of vector valued functions X(E), chich are generalizations of both the Lebesgue-Bochner and Orliez-Bochner spacesn have been studied by many authors. One of the fundamental problems here is the question of wether a geometrical property lifts from E to X(E). Although often an answer to such a question is expected, the proff of such a response is usually nontrivial. This thesis is composed with two independently parts. The first one treats some topological and geometrical properties in Köthe-Bochner Banach spaces. In the second part, we determine the solution of the generalized Cauchy fucntional equations. This thesis is organized as follows : The first chapter deals with an elementary approach to multivalued functions and Köthe-Bochner Banach spaces and presents some preliminaries results that we use in tje sequel. In the second chapter, we study strongly exposed points in general Köthe-Bochner Banach spaces X(E). We first give a characterization of strongly exposed points of the set of X-selections of a measurable multifuction Г. We then apply this result to the study of strongly exposed points of the closed unit ball of X(E). The third chapter concerns a characterization of strongly exposed points by selection methods. The main purpose of the chapter 4 is to characterize and provide some properties of the sets LXF of X-Bochner measurable selections of multifunctions in E, where E is a seperable Banach space and X is an order continous Köthe space. More precisely, we obtain a characterization of décomposable sets and a generalization of minimization theorems for integral functional in X€. In chapter 5, we give contributions to the study and resolution of the classical generalized Cauchy functional equations. | fr_FR |
dc.language.iso | en | fr_FR |
dc.publisher | Université Cadi Ayyad, Faculté des Sciences - Semlalia, Marrakech | fr_FR |
dc.relation.ispartofseries | Th-515.732/LAL; | |
dc.subject | Mathématiques pures | fr_FR |
dc.subject | Topologie | fr_FR |
dc.subject | Géométrie | fr_FR |
dc.subject | Köthe-Bochner Banach | fr_FR |
dc.subject | Cauchy | fr_FR |
dc.subject | Equation fonctionnelle | fr_FR |
dc.title | Some topological and geometrical properties in general Köthe-Bochner Banach spaces : Study of generalized Cauchy functional equations | fr_FR |
dc.description.laboratoire | Analyse, Géométrie Différentielle et Analyse Harmonique, (LAB.) | fr_FR |
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