Geometry and Probability in Banach Spaces

L. Schwartz

ISBN 10: 354010691X / ISBN 13: 9783540106913

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Apr 1981, 1981

About this Item

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.

Seller Inventory # 9783540106913

Bibliographic Details

• Title: Geometry and Probability in Banach Spaces
• Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg Apr 1981
• Publication Date: 1981
• Language: English
• ISBN 10: 354010691X
• ISBN 13: 9783540106913
• Binding: Taschenbuch
• Condition: Neu