by Springer-Verlag .
Written in English
|The Physical Object|
|Number of Pages||290|
Probability distributions on Banach spaces Add library to Favorites Please choose whether or not you want other users to be able to see on your profile that this library is a favorite of yours. Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space by: Based on recent developments, such as new isoperimetric inequalities and random process techniques, this book presents a thorough treatment of the main aspects of Probability in Banach spaces, and of some of their links to Geometry of Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties).5/5(1).
Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of. Probability in Banach Spaces Proceedings of the First International Conference on Probability in Banach Spaces, 20–26 July , Oberwolfach. Genre/Form: Aufsatzsammlung: Additional Physical Format: Online version: Probability on Banach spaces. New York: M.L. Dekker, © (OCoLC) 1. Fundamental notions of probability 2. Bases in Banach spaces 3. Unconditional convergence 4. Banach space valued random variables 5. Type and cotype of Banach spaces. Factorisation through a Hilbert space 6. p-summing operators. Applications 7. Some properties of Lp-spaces 8. The Space l1 Annex. Banach algebras, compact abelian groups.
Probability limit theorems in infinite-dimensional spaces give conditions un der which convergence holds uniformly over an infinite class of sets or functions. Early results in this direction were the Glivenko-Cantelli, Kolmogorov-Smirnov and Donsker theorems for empirical distribution functions. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian by: 4. The Ledoux-Talagrand book has been reprinted in the affordable series Classics in Mathematics. Still Springer-Verlag has most generously agreed that I distribute the file below. This is the file of a preliminary version, and the references are missing. Use it at your own risk: Probability in Banach Spaces. Probability in Banach Spaces by Anatole Beck, , available at Book Depository with free delivery : Anatole Beck.