Biorthogonal Systems in Banach Spaces

Petr Hajek

ISBN 10: 0387689141 / ISBN 13: 9780387689142

Edité par Springer New York, Springer US Nov 2007, 2007

A propos de cet article

Neuware -One of the fundamental questions of Banach space theory is whether every Banach space has a basis. A space with a basis gives us a sense of familiarity and concreteness, and perhaps a chance to attempt the classification of all Banach spaces and other problems.The main goals of this book are to: -introduce the reader to some of the basic concepts, results and applications of biorthogonal systems in infinite dimensional geometry of Banach spaces, and in topology and nonlinear analysis in Banach spaces, -aim the text at graduate students and researchers who have a foundation in Banach space theory, - expose the reader to some current avenues of research in biorthogonal systems in Banach spaces, -provide notes and exercises related to the topic, suggest open problems and possible new directions of research.Numerous exercises are included, and the only prerequisites are a basic background in functional analysis.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 360 pp. Englisch.

N° de réf. du vendeur 9780387689142

Détails bibliographiques

• Titre: Biorthogonal Systems in Banach Spaces
• Éditeur: Springer New York, Springer US Nov 2007
• Date de parution: 2007
• Langue: anglais
• ISBN à 10 chiffres: 0387689141
• ISBN à 13 chiffres: 9780387689142
• Reliure: Buch
• État de l'article: Neu

A propos de ce titre

Synopsis

One of the fundamental questions of Banach space theory is whether every Banach space has a basis. A space with a basis gives us a sense of familiarity and concreteness, and perhaps a chance to attempt the classification of all Banach spaces and other problems. This book introduces the reader to some of the basic concepts, results and applications of biorthogonal systems in infinite dimensional geometry of Banach spaces, and in topology and nonlinear analysis in Banach spaces, in a manner accessible to graduate students and researchers with a foundation in Banach space theory. Numerous exercises are included, and the only prerequisites are a basic background in functional analysis.