Orthonormal Systems and Banach Space Geometry

Klappentext This book describes the interplay between orthonormal expansions and Banach space geometry. Zusammenfassung Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry and yields a detailed insight into type and co-type of Banach spaces! B-convexity! super-reflexivity! the vector-valued Fourier transform! the vector-valued Hilbert transform and the unconditionality property for martingale differences (UMD). Inhaltsverzeichnis Preface; Introduction; Preliminaries; 1. Ideal norms and operator ideals; 2. Ideal norms associated with matrices; 3. Ideal norms associated with orthonormal systems; 4. Rademacher and Gauss ideal norms; 5. Trigonometric ideal norms; 6. Walsh ideal norms; 7. Haar ideal norms; 8. Unconditionality; 9. Miscellaneous; Summaries; List of symbols; Bibliography; Index.

Product details

• Authors: Albrecht Pietsch, Albrecht (Friedrich-Schiller-Universitat Pietsch, Albrecht Wenzel Pietsch, J. Rg Wenzel, Jorg Wenzel
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 21.01.2008
• EAN: 9780521054317
• ISBN: 978-0-521-05431-7
• No. of pages: 564
• Series: Encyclopedia of Mathematics an
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Geometry