The volume of convex bodies and Banach space geometry:
This book aims to give a self-contained presentation of a number of results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex sets, probabilit...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1989
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| Schriftenreihe: | Cambridge tracts in mathematics
94 |
| Links: | https://doi.org/10.1017/CBO9780511662454 |
| Zusammenfassung: | This book aims to give a self-contained presentation of a number of results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex sets, probability theory, approximation theory and the local theory of Banach spaces. The book is in two parts. The first presents self-contained proofs of the quotient of the subspace theorem, the inverse Santalo inequality and the inverse Brunn-Minkowski inequality. The second part gives a detailed exposition of the recently introduced classes of Banach spaces of weak cotype 2 or weak type 2, and the intersection of the classes (weak Hilbert space). The book is based on courses given in Paris and in Texas. |
| Umfang: | 1 Online-Ressource (xv, 250 Seiten) |
| ISBN: | 9780511662454 |
Internformat
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| 490 | 1 | |a Cambridge tracts in mathematics |v 94 | |
| 520 | |a This book aims to give a self-contained presentation of a number of results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex sets, probability theory, approximation theory and the local theory of Banach spaces. The book is in two parts. The first presents self-contained proofs of the quotient of the subspace theorem, the inverse Santalo inequality and the inverse Brunn-Minkowski inequality. The second part gives a detailed exposition of the recently introduced classes of Banach spaces of weak cotype 2 or weak type 2, and the intersection of the classes (weak Hilbert space). The book is based on courses given in Paris and in Texas. | ||
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| series2 | Cambridge tracts in mathematics |
| spelling | Pisier, Gilles 1950- The volume of convex bodies and Banach space geometry Gilles Pisier The Volume of Convex Bodies & Banach Space Geometry Cambridge Cambridge University Press 1989 1 Online-Ressource (xv, 250 Seiten) txt c cr Cambridge tracts in mathematics 94 This book aims to give a self-contained presentation of a number of results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex sets, probability theory, approximation theory and the local theory of Banach spaces. The book is in two parts. The first presents self-contained proofs of the quotient of the subspace theorem, the inverse Santalo inequality and the inverse Brunn-Minkowski inequality. The second part gives a detailed exposition of the recently introduced classes of Banach spaces of weak cotype 2 or weak type 2, and the intersection of the classes (weak Hilbert space). The book is based on courses given in Paris and in Texas. Erscheint auch als Druck-Ausgabe 9780521364652 Erscheint auch als Druck-Ausgabe 9780521666350 |
| spellingShingle | Pisier, Gilles 1950- The volume of convex bodies and Banach space geometry |
| title | The volume of convex bodies and Banach space geometry |
| title_alt | The Volume of Convex Bodies & Banach Space Geometry |
| title_auth | The volume of convex bodies and Banach space geometry |
| title_exact_search | The volume of convex bodies and Banach space geometry |
| title_full | The volume of convex bodies and Banach space geometry Gilles Pisier |
| title_fullStr | The volume of convex bodies and Banach space geometry Gilles Pisier |
| title_full_unstemmed | The volume of convex bodies and Banach space geometry Gilles Pisier |
| title_short | The volume of convex bodies and Banach space geometry |
| title_sort | volume of convex bodies and banach space geometry |
| work_keys_str_mv | AT pisiergilles thevolumeofconvexbodiesandbanachspacegeometry AT pisiergilles thevolumeofconvexbodiesbanachspacegeometry AT pisiergilles volumeofconvexbodiesandbanachspacegeometry |