Download introduction to banach spaces analysis and probability in pdf or read introduction to banach spaces analysis and probability in pdf online books in PDF, EPUB and Mobi Format. Click Download or Read Online button to get introduction to banach spaces analysis and probability in pdf book now. This site is like a library, Use search box in the widget to get ebook that you want.



Introduction To Banach Spaces Analysis And Probability

Author: Daniel Li
Publisher: Cambridge University Press
ISBN: 1108298168
Size: 48.45 MB
Format: PDF, Mobi
View: 412
Download and Read
This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. 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 groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

Introduction To Banach Spaces Analysis And Probability

Author: Daniel Li
Publisher: Cambridge University Press
ISBN: 1107160510
Size: 70.86 MB
Format: PDF
View: 5097
Download and Read
This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. 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 groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

Functional Analysis For Probability And Stochastic Processes

Author: Adam Bobrowski
Publisher: Cambridge University Press
ISBN: 9780521831666
Size: 77.72 MB
Format: PDF, Mobi
View: 2059
Download and Read
This text is designed both for students of probability and stochastic processes, and for students of functional analysis. It presents some chosen parts of functional analysis that can help understand ideas from probability and stochastic processes. The subjects range from basic Hilbert and Banach spaces, through weak topologies and Banach algebras, to the theory of semigroups of bounded linear operators. Numerous standard and non-standard examples and exercises make the book suitable as a course textbook as well as for self-study.

Probability In Banach Spaces

Author: Michel Ledoux
Publisher: Springer Science & Business Media
ISBN: 3642202128
Size: 16.22 MB
Format: PDF
View: 411
Download and Read
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 their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed.

Banach Space Theory

Author: Marián Fabian
Publisher: Springer Science & Business Media
ISBN: 9781441975157
Size: 70.81 MB
Format: PDF, ePub, Mobi
View: 637
Download and Read
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 theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.

Functional Analysis

Author: Terry J. Morrison
Publisher: John Wiley & Sons
ISBN: 9780471372141
Size: 71.11 MB
Format: PDF, ePub, Mobi
View: 168
Download and Read
A powerful introduction to one of the most active areas oftheoretical and applied mathematics This distinctive introduction to one of the most far-reachingand beautiful areas of mathematics focuses on Banach spaces as themilieu in which most of the fundamental concepts are presented.While occasionally using the more general topological vector spaceand locally convex space setting, it emphasizes the development ofthe reader’s mathematical maturity and the ability to bothunderstand and "do" mathematics. In so doing, Functional Analysisprovides a strong springboard for further exploration on the widerange 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,Functional Analysis also features many exercises for immediateclarification of points under discussion. This thoughtful,well-organized synthesis of the work of those mathematicians whocreated the discipline of functional analysis as we know it todayalso provides a rich source of research topics and referencematerial.

An Introduction To Banach Space Theory

Author: Robert E. Megginson
Publisher: Springer Science & Business Media
ISBN: 1461206030
Size: 77.92 MB
Format: PDF, ePub, Docs
View: 5698
Download and Read
Preparing students for further study of both the classical works and current research, this is an accessible text for students who have had a course in real and complex analysis and understand the basic properties of L p spaces. It is sprinkled liberally with examples, historical notes, citations, and original sources, and over 450 exercises provide practice in the use of the results developed in the text through supplementary examples and counterexamples.

Introduction To Banach Spaces And Algebras

Author: Graham R. Allan
Publisher: Oxford University Press
ISBN: 0199206538
Size: 15.18 MB
Format: PDF, ePub, Docs
View: 497
Download and Read
A graduate level text in functional analysis, with an emphasis on Banach algebras. Based on lectures given for Part III of the Cambridge Mathematical Tripos, the text will assume a familiarity with elementary real and complex analysis, and some acquaintance with metric spaces, analytic topology and normed spaces (but not theorems depending on Baire category, or any version of the Hahn-Banach theorem).

Martingales In Banach Spaces

Author: Gilles Pisier
Publisher: Cambridge University Press
ISBN: 1316679462
Size: 11.17 MB
Format: PDF, ePub, Mobi
View: 295
Download and Read
This book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic analysis in Banach space valued Hardy spaces is also presented. It covers exciting links between super-reflexivity and some metric spaces related to computer science, as well as an outline of the recently developed theory of non-commutative martingales, which has natural connections with quantum physics and quantum information theory. Requiring few prerequisites and providing fully detailed proofs for the main results, this self-contained study is accessible to graduate students with a basic knowledge of real and complex analysis and functional analysis. Chapters can be read independently, with each building from the introductory notes, and the diversity of topics included also means this book can serve as the basis for a variety of graduate courses.

Fractals In Probability And Analysis

Author: Christopher J. Bishop
Publisher: Cambridge University Press
ISBN: 1107134110
Size: 72.10 MB
Format: PDF, Mobi
View: 6168
Download and Read
This is a mathematically rigorous introduction to fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability, central topics such as Hausdorff dimension, self-similar sets and Brownian motion are introduced, as are more specialized topics, including Kakeya sets, capacity, percolation on trees and the traveling salesman theorem. The broad range of techniques presented enables key ideas to be highlighted, without the distraction of excessive technicalities. The authors incorporate some novel proofs which are simpler than those available elsewhere. Where possible, chapters are designed to be read independently so the book can be used to teach a variety of courses, with the clear structure offering students an accessible route into the topic.