Geometry and Probability in Banach Spaces
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| Hlavní autoři: | , |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Edice: | Lecture notes in mathematics
852 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Geometry and probability in Banach spaces, Laurent Schwartz, 1981, Berlin [etc.], Springer-Verlag, 1 vol. (X-101 p.), Lecture notes in mathematics, 0-387-10691-X • Geometry and Probability in Banach Spaces, Texte imprimé, 9783662197967 |
Obsah:
- Type and cotype for a Banach space p-summing maps
- Pietsch factorization theorem
- Completely summing maps. Hilbert-Schmidt and nuclear maps
- p-integral maps
- Completely summing maps: Six equivalent properties. p-Radonifying maps
- Radonification Theorem
- p-Gauss laws
- Proof of the Pietsch conjecture
- p-Pietsch spaces. Application: Brownian motion
- More on cylindrical measures and stochastic processes
- Kahane inequality. The case of Lp. Z-type
- Kahane contraction principle. p-Gauss type the Gauss type interval is open
- q-factorization, Maurey's theorem Grothendieck factorization theorem
- Equivalent properties, summing vs. factorization
- Non-existence of (2+?)-Pietsch spaces, Ultrapowers
- The Pietsch interval. The weakest non-trivial superproperty. Cotypes, Rademacher vs. Gauss
- Gauss-summing maps. Completion of grothendieck factorization theorem. TLC and ILL
- Super-reflexive spaces. Modulus of convexity, q-convexity "trees" and Kelly-Chatteryji Theorem Enflo theorem. Modulus of smoothness, p-smoothness. Properties equivalent to super-reflexivity
- Martingale type and cotype. Results of Pisier. Twelve properties equivalent to super-reflexivity. Type for subspaces of Lp (Rosenthal Theorem).