9 edition of **Geometry and probability in Banach spaces** found in the catalog.

- 393 Want to read
- 8 Currently reading

Published
**1981**
by Springer-Verlag in Berlin, New York
.

Written in English

- Banach spaces.,
- Linear operators.,
- Probabilities.

**Edition Notes**

Statement | Laurent Schwartz ; notes by Paul R. Chernoff. |

Series | Lecture notes in mathematics ;, 852, Lecture notes in mathematics (Springer-Verlag) ;, 852. |

Contributions | Chernoff, Paul R., 1942- |

Classifications | |
---|---|

LC Classifications | QA3 .L28 vol. 852, QA322.2 .L28 vol. 852 |

The Physical Object | |

Pagination | x, 101 p. : |

Number of Pages | 101 |

ID Numbers | |

Open Library | OL4259642M |

ISBN 10 | 038710691X |

LC Control Number | 81005240 |

Geometry and Martingales in Banach Spaces. This chapter provides an overview on probability measures in a metric space. This thesis deals with the descriptive set theory and the geometry. Purchase Handbook of the Geometry of Banach Spaces, Volume 2 - 1st Edition. Print Book & E-Book. ISBN ,

A short course on non linear geometry of Banach spaces 3 We nish this very short section by mentioning an important recent result by G. Godefroy and N.J. Kalton [15] on isometries. Theorem (Godefroy-Kalton ) Let Xand Ybe separable Banach spaces and suppose that f: X!Y is an into isometry, then Xis linearly isometric to a subspace of by: 1. [] 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:

We prove a robust version of Pisier's inequality [Pis86], an inequality which was first studied in the geometry of Banach spaces. When the projections p S are far from uniform in total variation. 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 Cited by:

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Geometry and probability in Banach spaces. Berlin ; New York: Springer-Verlag, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Laurent Schwartz; Paul R Chernoff.

This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Cited by: 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. 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 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).Cited by: Super-reflexive spaces.

Modulus of convexity, q-convexity "trees" and Kelly-Chatterji Theorem. Enflo theorem. Modulus of smoothness, p-smoothness. ISBN: X OCLC Number: Description: x, pages: illustrations ; 25 cm: Contents: Cylindrical probabilities and radonifying maps.

Super-reflexive spaces. Modulus of convexity, q-convexity "trees" and Kelly-Chatterji Theorem. Enflo theorem. Modulus of smoothness, p-smoothness. Properties equivalent to super-reflexivity. Pages Schwartz, Laurent (et al.)Brand: Springer-Verlag Berlin Heidelberg.

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. 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. 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. Here are the main general results about Banach spaces that go back to the time of Banach's book (Banach ()) and are related to the Baire category theorem. According to this theorem, a complete metric space (such as a Banach space, a Fréchet space or an F-space) cannot be equal to a union of countably many closed subsets with empty interiors.

The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience.

In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as.

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).

Geometry and martingales in Banach spaces | Woyczyński, Wojbor Andrzej | download | B–OK. Download books for free. Find books. 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.

The non-linear geometry of Banach spaces after Nigel Kalton Godefroy, G., Lancien, G., and Zizler, V., Rocky Mountain Journal of Mathematics, A Note on the Convergence of Stable and Class L Probability Measures on Banach Spaces Kumar, A., Annals of Probability, Handbook of the Geometry of Banach Spaces.

Edited by W.B. Johnson, J. Lindenstrauss. Volume 1, Pages () Convex Geometry and Functional Analysis. Keith Ball. PagesBook chapter Full text access Chapter 8 - Local Operator Theory, Random Matrices and Banach Spaces.

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. Series: Handbook of the Geometry of Banach Spaces The Handbook presents an overview of most aspects of modern Banach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience.

This note will provide a firm knowledge of real and complex normed vector spaces, with geometric and topological properties. Reader will be familiar with the notions of completeness, separability and density, will know the properties of a Banach space and important examples, and will be able to prove results relating to the Hahn–Banach Theorem.

The book sticks mostly to the general theory of Banach spaces and their operators, and does not deal with any special kinds of spaces, such as \(H^p\) spaces or spaces of analytic functions. It also does not deal with more specialized structures such as Banach algebras (except in an appendix) or Hilbert spaces.

In so doing, Functional Analysis provides a strong springboard for further exploration on the wide range of topics the book presents, including: * Weak topologies and applications * Operators on Banach spaces * Bases in Banach spaces * Sequences, series, and geometry in Banach spaces Stressing the general techniques underlying the proofs.