Synopsis
I. Isometric Embedding.- §1. Introduction.- §2. Isometric Embedding in Hilbert Space.- §3. Functions of Negative Type.- §4. Radial Positive Definite Functions.- §5. A Characterization of Subspaces of Lp, 1 ? p ? 2.- II. The Classes N(X) and RPD(X): Integral Representations.- § 6. Radial Positive Definite Functions on ?n.- §7. Positive Definite Functions on Infinite-Dimensional Linear Spaces.- § 8. Functions of Negative Type on Lp Spaces.- §9. Functions of Negative Type on ?N.- III. The Extension Problem for Contractions and Isometries.- §10. Formulation.- §11. The Kirszbraun Intersection Property.- §12. Extension of Contractions for Pairs of Banach Spaces.- §13. Special Extension Problems.- IV. Interpolation and Lp Inequalities.- §14. A Multi-Component Riesz-Thorin Theorem.- §15. Lp Inequalities.- §16. A Packing Problem in Lp.- V. The Extension Problem for Lipschitz-Hölder Maps between Lp Spaces.- §17. K-Functions and an Extension Procedure for Bilinear Forms.- §18. Examples of K-Functions.- §19. The Contraction Extension Problem for the Pairs (L?q,Lp).- Author Index.- List of Symbols.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
