Albiac / Kalton Topics in Banach Space Theory
1. Auflage 2006
ISBN: 978-0-387-28142-1
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 388 Seiten, Web PDF
Reihe: Mathematics and Statistics
ISBN: 978-0-387-28142-1
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
The geometry of Banach spaces is a rich, beautiful, and rewarding subject. In this book the authors explore the isomorphic theory of Banach spaces and techniques, using the unifying viewpoint of basic sequences. Banach space theory can function as a window to such advanced concepts as harmonic analysis, and beyond into signal processing, economics and physics. The book is suitable for a semester-long graduate course and it will become a standard reference and textbook in the area.
Zielgruppe
Graduate
Autoren/Hrsg.
Weitere Infos & Material
Bases and Basic Sequences.- The Classical Sequence Spaces.- Special Types of Bases.- Banach Spaces of Continuous Functions.- L1(?)-Spaces and C(K)-Spaces.- The Lp-Spaces for 1 ? p < ?.- Factorization Theory.- Absolutely Summing Operators.- Perfectly Homogeneous Bases and Their Applications.- ?p-Subspaces of Banach Spaces.- Finite Representability of ?p-Spaces.- An Introduction to Local Theory.- Important Examples of Banach Spaces.
