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...
Zapisane w:
| Główni autorzy: | , |
|---|---|
| Kolejni autorzy: | |
| Format: | Livre numérique |
| Język: | Anglais |
| Wydane: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Seria: | Lecture notes in mathematics
1200 |
| Hasła przedmiotowe: | |
| Dostęp online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Komentarz: |
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 |
| LEADER | 04390nam a22004577a 4500 | ||
|---|---|---|---|
| 001 | 972996 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155233408 | ||
| 020 | |a 9783540388227 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.732 | ||
| 082 | |a 510 | ||
| 084 | |a 46B25. 2010 | ||
| 084 | |a 46-02. 2010 | ||
| 084 | |a 46B20. 2010 | ||
| 084 | |a 28C20. 2010 | ||
| 100 | 1 | |a Milman, Vitali D., |d 1939- | |
| 245 | 1 | 0 | |a Asymptotic theory of finite dimensional normed spaces |c Vitali D. Milman, Gideon Schechtman ; with an appendix by M. Gromov. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1200 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 the structure of infinite dimensional Banach spaces to the structure of their lattice of finite dimensional subspaces). Our purpose in this book is to introduce the reader to some of the results, problems, and mainly methods developed in the Local Theory, in the last few years. This by no means is a complete survey of this wide area. Some of the main topics we do not discuss here are mentioned in the Notes and Remarks section. Several books appeared recently or are going to appear shortly, which cover much of the material not covered in this book. Among these are Pisier's [Pis6] where factorization theorems related to Grothendieck's theorem are extensively discussed, and Tomczak-Jaegermann's [T-Jl] where operator ideals and distances between finite dimensional normed spaces are studied in detail. Another related book is Pietch's [Pie]. | ||
| 650 | |a Théorèmes des limites (théorie des probabilités) | ||
| 650 | |a Espaces linéaires normés | ||
| 650 | |a Ensembles convexes | ||
| 650 | |a Développements asymptotiques | ||
| 700 | 1 | |a Schechtman, Gideon, |d 1947- |4 aut | |
| 700 | 1 | |a Gromov, Mikhail, |d 1943-..., |c mathématicien. |4 clb | |
| 776 | 0 | |t Asymptotic Theory of Finite Dimensional Normed Spaces |b Texte imprimé |z 9783540167693 | |
| 776 | 0 | |t Asymptotic Theory of Finite Dimensional Normed Spaces |b Texte imprimé |z 9783662184769 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-540-38822-7 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-XNC53D3K-9 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750630728 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-3-540-38822-7 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753987368 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-3-540-38822-7 |z Accès INSA CVL | |
| 997 | |0 972996 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||