1 edition of **Probability in Banach spaces** found in the catalog.

Probability in Banach spaces

Ledoux, Michel

- 6 Want to read
- 35 Currently reading

Published
**2011**
by Springer in Berlin, London
.

Written in English

- Probabilities,
- Banach spaces

**Edition Notes**

Statement | Michel Ledoux, Michel Talagrand |

Series | Classics in mathematics, Classics in mathematics |

Contributions | Talagrand, Michel, 1952- |

Classifications | |
---|---|

LC Classifications | QA273 .L373 2011 |

The Physical Object | |

Pagination | xii, 480 p. ; |

Number of Pages | 480 |

ID Numbers | |

Open Library | OL25189609M |

ISBN 10 | 364220211X |

ISBN 10 | 9783642202117, 9783642202124 |

LC Control Number | 2011930191 |

OCLC/WorldCa | 751525992 |

Book Description. Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces. Geometric concepts such as dentability, uniform smoothness, uniform convexity, Beck convexity, etc. turn out to. The only thing that I can guarantee so far is that the necessary assumption on the Banach space is having a finite cotype thanks to @fedja counterexample and the Maurey–Pisier theorem (see Corollary in Analysis in Banach spaces, Volume II by Hytönen, van Neerven, Veraar, and Weis).

Ann. Probab. Vol Number 2 (), Review: Michel Ledoux, Michel Talagrand, Probability in Banach Spaces: Isoperimetry and Processes Marjorie G. HahnAuthor: Marjorie G. Hahn. [] D. L., Burkholder, Martingale transforms and the geometry of Banach spaces, in Probability in Banach spaces, III, Lecture Notes in Mathematics , Springer, Berlin, , 35– [] D. L., Burkholder, A geometric condition that implies the existence of certain singular integrals of Banach space-valued functions, in Conference on Cited by:

The remainder of the book addresses the structure of various Banach spaces and Banach algebras of analytic functions in the unit disc. Enhanced with challenging exercises, a bibliography, and an index, this text belongs in the libraries of students, professional mathematicians, as well as anyone interested in a rigorous, high-level. Summary. Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces. Geometric concepts such as dentability, uniform smoothness, uniform convexity, Beck convexity, etc. turn out to.

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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).

Based on these Probability in Banach spaces book, 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).Cited by: 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 Probability in Banach spaces book 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 JulyOberwolfach. 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.

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 Price: $ Understanding a theorem from “Probability theory of Banach Spaces ” book.

Ask Question Asked 6 years, 4 months ago. Browse other questions tagged probability-theory probability-distributions banach-spaces or ask your own question. Proof of Eberlein–Smulian Theorem.

A good understanding about the disciplines involved in this field can be obtained from the recent book, Probability in Banach Spaces, Springer-Verlag, by M. Ledoux and M. Thlagrand. On page 5, of this book, there is a list of previous conferences in probability in Banach spaces, including the other eight international conferences.

A friendly introduction into geometry of Banach spaces. An Introduction to Banach Space Theory Graduate Texts in Mathematics. Robert E. Megginson. A more academic, but still very basic exposition. Topics in Banach space theory. Albiac, N.

Kalton. Though this is still a textbook, it contains a lot. Mostly for future Banach space specialists. A Schauder basis in a Banach space X is a sequence {e n} n ≥ 0 of vectors in X with the property that for every vector x in X, there exist uniquely defined scalars {x n} n ≥ 0 depending on x, such that = ∑ = ∞, = (), ():= ∑.

Banach spaces with a Schauder basis are necessarily separable, because the countable set of finite linear combinations with rational coefficients (say) is dense. Probability in Banach Spaces, 8 | 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. Probability Algebras and Stochastic Spaces explores the fundamental notions of probability theory in the so-called “point-free” way.

The space of all elementary random variables defined over a probability algebra in a “point-free” way is a base for the stochastic space of all random variables, which can be obtained from it by lattice.This book gives an excellent, almost complete account of the whole subject of probability in Banach spaces, a branch of probability theory that has undergone vigorous development during the last thirty years.

There is no doubt in the reviewer’s mind that this book will .Probability in Banach Spaces III: Proceedings of the Third International Conference on Probability in Banach Spaces, Held at Tufts University, Medford, USA, August/ Price: $