Introduction To Banach Spaces Analysis And Probability PDF Download
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| Author | : Daniel Li |
| Publisher | : Cambridge University Press |
| Total Pages | : 464 |
| Release | : 2017-11-02 |
| Genre | : Mathematics |
| ISBN | : 1108300073 |
Download Introduction to Banach Spaces: Analysis and Probability: Book in PDF, ePub and Kindle
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.
| Author | : Daniel Li |
| Publisher | : Cambridge University Press |
| Total Pages | : 405 |
| Release | : 2017-11-02 |
| Genre | : Mathematics |
| ISBN | : 1108298168 |
Download Introduction to Banach Spaces: Analysis and Probability: Volume 2 Book in PDF, ePub and Kindle
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.
| Author | : Daniel Li |
| Publisher | : Cambridge University Press |
| Total Pages | : 405 |
| Release | : 2018 |
| Genre | : Mathematics |
| ISBN | : 1107162629 |
Download Introduction to Banach Spaces: Analysis and Probability Book in PDF, ePub and Kindle
This second volume of a two-volume overview focuses on the applications of Banach spaces and recent developments in the field.
| Author | : Michel Ledoux |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 493 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 3642202128 |
Download Probability in Banach Spaces Book in PDF, ePub and Kindle
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.
| Author | : R. C. Blei |
| Publisher | : |
| Total Pages | : 188 |
| Release | : 2014-01-15 |
| Genre | : |
| ISBN | : 9783662196977 |
Download Banach Spaces, Harmonic Analysis, and Probability Theory Book in PDF, ePub and Kindle
| Author | : Marián Fabian |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 820 |
| Release | : 2011-02-04 |
| Genre | : Mathematics |
| ISBN | : 1441975152 |
Download Banach Space Theory Book in PDF, ePub and Kindle
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.
| Author | : Tuomas Hytönen |
| Publisher | : Springer |
| Total Pages | : 614 |
| Release | : 2016-11-26 |
| Genre | : Mathematics |
| ISBN | : 3319485202 |
Download Analysis in Banach Spaces Book in PDF, ePub and Kindle
The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes. The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional analysis or related areas.
| Author | : Adam Bobrowski |
| Publisher | : Cambridge University Press |
| Total Pages | : 416 |
| Release | : 2005-08-11 |
| Genre | : Mathematics |
| ISBN | : 9780521831666 |
Download Functional Analysis for Probability and Stochastic Processes Book in PDF, ePub and Kindle
This text presents selected areas of functional analysis that can facilitate an understanding of ideas in probability and stochastic processes. Topics covered include basic Hilbert and Banach spaces, weak topologies and Banach algebras, and the theory ofsemigroups of bounded linear operators.
| Author | : University of Connecticut |
| Publisher | : Springer |
| Total Pages | : 190 |
| Release | : 1983 |
| Genre | : Mathematics |
| ISBN | : |
Download Banach Spaces, Harmonic Analysis, and Probability Theory Book in PDF, ePub and Kindle
| Author | : Robert E. Megginson |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 613 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461206030 |
Download An Introduction to Banach Space Theory Book in PDF, ePub and Kindle
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.
