
Introduction to Banach Spaces: Analysis and Probability
Analysis and Probability
Cambridge University Press
Published on 2. November 2017
Book
Hardback
402 pages
978-1-107-16262-4 (ISBN)
Description
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.
Reviews / Votes
Review of previous edition: 'Undoubtedly, the book will be very useful for all mathematicians (not only for postgraduate students) who work in the theory of Banach spaces, harmonic analysis and probability theory.' Anatolij M. Plichko, American Mathematical Society Review from previous edition: '... carefully written and edited ... The exposition is clear, precise and lively, and the text makes very good reading.' Eve Oja, Zentralblatt MathMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Illustrations
Worked examples or Exercises; 2 Line drawings, black and white
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 28 mm
Weight
807 gr
ISBN-13
978-1-107-16262-4 (9781107162624)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

E-Book
11/2017
Cambridge University Press
€73.99
Available for download

Daniel Li | Herve Queffelec
Introduction to Banach Spaces: Analysis and Probability: Volume 2
E-Book
10/2017
Cambridge University Press
€88.49
Available for download
Complete work / Part of the work

Daniel Li | Herve Queffelec
Introduction to Banach Spaces: Analysis and Probability 2 Volume Hardback Set (Series Numbers 166-167)
Book
11/2017
Cambridge University Press
€198.50
Article not available at the moment
Persons
Daniel Li is a Professor at Universite d'Artois, France. Herve Queffelec is Emeritus Professor at Universite de Lille I, France. He has published over 60 papers, two research books, and four textbooks, including Twelve Landmarks of Twentieth-Century Analysis (Cambridge, 2015).
Content
Preface; 1. Euclidean sections; 2. Separable Banach spaces without the approximation property; 3. Gaussian processes; 4. Reflexive subspaces of L1; 5. The method of selectors. Examples of its use; 6. The Pisier space of almost surely continuous functions. Applications; Appendix. News in the theory of infinite-dimensional Banach spaces in the past twenty years G. Godefroy; An update on some problems in high dimensional convex geometry and related probabilistic results O. Guedon; A few updates and pointers G. Pisier; On the mesh condition for Sidon sets L. Rodriguez-Piazza; Bibliography; Author index; Notation index; Subject index.