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Title: | QUELQUES APPLICATIONS DU THÉORÈME DE HAHN BANACH |
Authors: | BADIDJA, SALIM CHENINE, HANAN |
Keywords: | توطئة زورن المجموعة المرتبة الشكل التحليلي لنظرية هان-بناخ الشكل الهندسي لنظرية هان- .بناخ... Zorne’s lemma, Ordered sets, The analytic form of the Hahn-Banach theorem the geometric form of the Hahn-Banach theorm Quelque applications du théorème de Hahn-Banach |
Issue Date: | 2014 |
Publisher: | UNIVERSITE KASDI MERBAH OUARGLA |
Abstract: | ترتكز هذه المذكرة على دراسة تطبيقات نظرية هان-بناخ. نظرية هان-بناخ هي من بين النظريات المهمة في التحليل الدالي، ولها
شكلين "تحليلي، هندسي" ، واستعملت في براهين عدة نظريات في مجالات مختلفة: التحليل، الطبولوجيا،المعادلات الحرارية ....... This Master thesis is devoted to the study of application the Hahn-Banach theorem. Thi theorem is very important and has many applications in analysis, topology,... . We have developed the essential topologic methods to prove this theorem and we have adopted the many topological spaces. We have developed some examples and outlined some important applications on analysis and topology, namely the hausdorff weak topology, Krein-Millman theorem |
Description: | Mathématiques |
URI: | https://dspace.univ-ouargla.dz/jspui/handle/123456789/35470 |
Appears in Collections: | Département de Mathématiques - Master |
Files in This Item:
File | Description | Size | Format | |
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chenine-hanan.pdf | 610,18 kB | Adobe PDF | View/Open |
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