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Auteur Fatima Zahra Daoud
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| Titre : | Compact operators | | Type de document : | document multimédia | | Auteurs : | Fatima Zahra Daoud, Auteur ; Amar Belacel, Directeur de thèse | | Editeur : | Laghouat : Université Amar Telidji - Département de mathématiques | | Année de publication : | 2023 | | Importance : | 65 p. | | Accompagnement : | 1 disque optique numérique (CD-ROM) | | Note générale : | Option : Analyse mathématique | | Langues : | Anglais | | Mots-clés : | Compact operators Opérateur compact | | Résumé : | In this dissertation, we have dealt with the compact operators, these kind of operators play a fondamental role in mathematics and they are used to prove a lot of fondamental theorems in different mathematic subfields . This research consists of three main chapters.
The first chapter was about the Hilbert spaces and theire properties and it was also about orthogonality and orthonormality. The second one discusses the operators and theire theorems and properties, it also discusses the adjoint of an operator and its properties and definitions. The third one covers this research object, compact operators, we have dealt in this chapter with the most important theorems and basics of the compact operators. Eventually i hope that i succeeded in presenting this dissertation throughly and simtly. | | note de thèses : | Mémoire de master en mathématiques |
Compact operators [document multimédia] / Fatima Zahra Daoud, Auteur ; Amar Belacel, Directeur de thèse . - Laghouat : Université Amar Telidji - Département de mathématiques, 2023 . - 65 p. + 1 disque optique numérique (CD-ROM). Option : Analyse mathématique Langues : Anglais | Mots-clés : | Compact operators Opérateur compact | | Résumé : | In this dissertation, we have dealt with the compact operators, these kind of operators play a fondamental role in mathematics and they are used to prove a lot of fondamental theorems in different mathematic subfields . This research consists of three main chapters.
The first chapter was about the Hilbert spaces and theire properties and it was also about orthogonality and orthonormality. The second one discusses the operators and theire theorems and properties, it also discusses the adjoint of an operator and its properties and definitions. The third one covers this research object, compact operators, we have dealt in this chapter with the most important theorems and basics of the compact operators. Eventually i hope that i succeeded in presenting this dissertation throughly and simtly. | | note de thèses : | Mémoire de master en mathématiques |
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