Geometry and probability in Banach spaces /
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| Author / Creator: | Schwartz, Laurent. |
|---|---|
| Imprint: | Berlin ; New York : Springer-Verlag, 1981. |
| Description: | 1 online resource (x, 101 pages) : illustrations. |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 852 Lecture notes in mathematics (Springer-Verlag) ; 852. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11070461 |
Table of Contents:
- 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).