Skip to content
Register Sign in Wishlist
Introduction to Banach Spaces: Analysis and Probability

Introduction to Banach Spaces: Analysis and Probability

Volume 1


Part of Cambridge Studies in Advanced Mathematics

  • Date Published: December 2017
  • availability: In stock
  • format: Hardback
  • isbn: 9781107160514

£ 78.99

Add to cart Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • 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.

    • Traces the theory of Banach spaces from its origins to the present day
    • Proves all the results from scratch
    • Highlights how classical and harmonic analysis, and probability, interact with the theory of Banach spaces
    Read more

    Reviews & endorsements

    Review of previous edition: 'carefully written and edited... The exposition is clear, precise and lively, and the text makes very good reading.' Eve Oja, Zentralblatt Math

    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

    'The book contains a lot of interesting and deep results on Banach spaces and harmonic analysis treated, with the methods of probability theory. It can be used for advanced courses in functional analysis, but also by professional mathematicians as a valuable source of information.' S. Cobzas, Mathematica

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: December 2017
    • format: Hardback
    • isbn: 9781107160514
    • length: 460 pages
    • dimensions: 235 x 158 x 29 mm
    • weight: 0.75kg
    • contains: 5 b/w illus. 95 exercises
    • availability: In stock
  • Table of Contents

    Preliminary chapter
    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
    Author index
    Notation index
    Subject index.

  • Authors

    Daniel Li, Université d’Artois, France
    Daniel Li is a Professor at Université d'Artois, France.

    Hervé Queffélec, Université de Lille I
    Hervé Queffélec is Emeritus Professor at Université de Lille I. He has published over sixty papers, two research books, and four textbooks, including Twelve Landmarks of Twentieth-Century Analysis (2015).


    Danièle Gibbons

    Greg Gibbons

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.