Asymptotic theory of finite dimensional normed spaces
This book deals with the geometrical structure of finite dimensional normed spaces, as the dimension grows to infinity. This is a part of what came to be known as the Local Theory of Banach Spaces (this name was derived from the fact that in its first stages, this theory dealt mainly with relating t...
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Andre forfattere: | |
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1200 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Asymptotic Theory of Finite Dimensional Normed Spaces, Texte imprimé, 9783540167693 • Asymptotic Theory of Finite Dimensional Normed Spaces, Texte imprimé, 9783662184769 |
Indholdsfortegnelse:
- The Concentration of Measure Phenomenon in the Theory of Normed Spaces
- Preliminaries
- The Isoperimetric Inequality on Sn?1 and Some Consequences
- Finite Dimensional Normed Spaces, Preliminaries
- Almost Euclidean Subspaces of A Normed Space
- Almost Euclidean Subspaces of ?{p}n Spaces, of General n-Dimensional Normed Spaces, and of Quotient of n-Dimensional Spaces
- Levy Families
- Martingales
- Embedding ?pm into ?1n
- Type and Cotype of Normed Spaces, and Some Simple Relations with Geometrical Properties
- Additional Applications of Levy Families in the Theory of Finite Dimensional Normed Spaces
- Type and Cotype of Normed Spaces
- Ramsey s Theorem with Some Applications to Normed Spaces
- Krivine s Theorem
- The Maurey-Pisier Theorem
- The Rademacher Projection
- Projections on Random Euclidean Subspaces of Finite Dimensional Normed Spaces.