Geometry and probability in Banach spaces / / Laurent Schwartz ; notes by Paul R. Chernoff
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| Autore: |
Schwartz Laurent
|
| Titolo: |
Geometry and probability in Banach spaces / / Laurent Schwartz ; notes by Paul R. Chernoff
|
| Pubblicazione: | Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1981] |
| ©1981 | |
| Edizione: | 1st ed. 1981. |
| Descrizione fisica: | 1 online resource (XII, 108 p.) |
| Disciplina: | 515.732 |
| Soggetto topico: | Banach spaces |
| Linear operators | |
| Probabilities | |
| Persona (resp. second.): | ChernoffPaul R. <1942-> |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | 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). |
| Titolo autorizzato: | Geometry and probability in Banach spaces |
| ISBN: | 3-540-38617-3 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466622103316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture notes in mathematics (Springer-Verlag) ; ; 852.