Geometry and Probability in Banach Spaces

Descripción

Neuware -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). 120 pp. Englisch.

N° de ref. del artículo 9783540106913

Contactar al vendedor

Denunciar este artículo

Detalles bibliográficos

Título

Geometry and Probability in Banach Spaces

Editor

Springer Berlin Heidelberg, Springer Berlin Heidelberg Apr 1981

Fecha de publicación

1981

Idioma

Inglés

ISBN 10

354010691X

ISBN 13

9783540106913

Encuadernación

Taschenbuch

Estado

Neu

Dimensiones

235 mm an. × 155 al. × 7 l. 235 milímetros de ancho por 155 de alto por 7 de largo

Peso

195 gramos