Buch, Englisch, Band 89, 256 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 421 g
Buch, Englisch, Band 89, 256 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 421 g
Reihe: London Mathematical Society Lecture Note Series
ISBN: 978-0-521-27585-9
Verlag: Cambridge University Press
This book presents a theory motivated by the spaces LP, 0 = p < l. These spaces are not locally convex, so the methods usually encountered in linear analysis (particularly the Hahn-Banach theorem) do not apply here. Questions about the size of the dual space are especially important in the non-locally convex setting, and are a central theme. Several of the classical problems in the area have been settled in the last decade, and a number of their solutions are presented here. The book begins with concrete examples (lp, LP, L0, HP) before going on to general results and important counterexamples. An F-space sampler will be of interest to research mathematicians and graduate students in functional analysis.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
1. Preliminaries; 2. Some of the classic results; 3. Hardy spaces; 4. The Hahn-Banach extension property; 5. Three space problems; 6. Lifting Theorems; 7. Transitive spaces and small operators; 8. Operators between LP spaces; 9. Compact convex sets with no extreme points; 10. Notes on other directions of research.
