Geometry and Probability in Banach Spaces

Author:   L. Schwartz ,  P.R. Chernoff
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1981 ed.
Volume:   852
ISBN:  

9783540106913


Pages:   108
Publication Date:   01 April 1981
Format:   Paperback
Availability:   In Print   Availability explained
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Geometry and Probability in Banach Spaces


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Author:   L. Schwartz ,  P.R. Chernoff
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1981 ed.
Volume:   852
Dimensions:   Width: 15.50cm , Height: 0.60cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783540106913


ISBN 10:   354010691
Pages:   108
Publication Date:   01 April 1981
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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).

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