| Titre : | Biorthogonal systems in Banach spaces | | Type de document : | texte imprimé | | Auteurs : | Petr HÁJEK, Auteur ; Vicente MONTESINOS SANTALUCÍA, Auteur ; Jon VANDERWERFF, Auteur | | Editeur : | New York : Springer-Verlag | | Année de publication : | cop. 2008 | | Collection : | CMS Books in Mathematics num. 26 | | Importance : | XVIII-339 p. | | ISBN/ISSN/EAN : | 978-0-387-68914-2 | | Langues : | Anglais | | Catégories : | 46BXX
| | Mots-clés : | système biorthogonal espace de Banach | | Résumé : | The main theme of this book is the relation between the global structure of Banach spaces and the various types of generalized "coordinate systems" - or "bases" - they possess. This subject is not new and has been investigated since the inception of the study of Banach spaces. In this book, the authors systematically investigate the concepts of Markushevich bases, fundamental systems, total systems and their variants. The material naturally splits into the case of separable Banach spaces, as is treated in the first two chapters, and the nonseparable case, which is covered in the remainder of the book. This book contains new results, and a substantial portion of this material has never before appeared in book form. The book will be of interest to
researchers and graduate students. | | Note de contenu : | index, références |
Biorthogonal systems in Banach spaces [texte imprimé] / Petr HÁJEK, Auteur ; Vicente MONTESINOS SANTALUCÍA, Auteur ; Jon VANDERWERFF, Auteur . - New York : Springer-Verlag, cop. 2008 . - XVIII-339 p.. - ( CMS Books in Mathematics; 26) . ISBN : 978-0-387-68914-2 Langues : Anglais | Catégories : | 46BXX
| | Mots-clés : | système biorthogonal espace de Banach | | Résumé : | The main theme of this book is the relation between the global structure of Banach spaces and the various types of generalized "coordinate systems" - or "bases" - they possess. This subject is not new and has been investigated since the inception of the study of Banach spaces. In this book, the authors systematically investigate the concepts of Markushevich bases, fundamental systems, total systems and their variants. The material naturally splits into the case of separable Banach spaces, as is treated in the first two chapters, and the nonseparable case, which is covered in the remainder of the book. This book contains new results, and a substantial portion of this material has never before appeared in book form. The book will be of interest to
researchers and graduate students. | | Note de contenu : | index, références |
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Affiner la recherche Interroger des sources externesBanach space theory and its applications (1983)
Bases in Banach spaces. I (Cop. 1970)
M-Ideals in Banach spaces and Banach algebras (1993)
