Skip to content
Register Sign in Wishlist

A Short Course on Banach Space Theory

$56.99 (P)

Part of London Mathematical Society Student Texts

  • Date Published: December 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521603720

$ 56.99 (P)

Add to cart Add to wishlist

Other available formats:
Hardback, eBook

Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • This short course on classical Banach space theory is a natural follow-up to a first course on functional analysis. The topics covered have proven useful in many contemporary research arenas, such as harmonic analysis, the theory of frames and wavelets, signal processing, economics, and physics. The book is intended for use in an advanced topics course or seminar, or for independent study. It offers a more user-friendly introduction than can be found in the existing literature and includes references to expository articles and suggestions for further reading.

    • Based on a tried-and-tested classroom approach
    • The course has minimal prerequisites - accessible to anyone who has had a standard first course in graduate analysis
    • The course is self-contained with numerous exercises, a preliminaries section and an appendix on topology
    Read more

    Reviews & endorsements

    'This lively written text focuses on certain aspects of the (neo-) classical theory of Banach spaces as developed in the 1950s and 1960s and is intended as an introduction to the subject, e.g., for future Ph.D. students. … This slim book is indeed very well suited to serve as an introduction to Banach spaces. Readers who have mastered it are well prepared to study more advanced texts such as P. Wojtaszczyk's Banach Spaces for Analysts (Cambridge University Press, second edition) or research papers.' Zentralblatt MATH

    '… a painstaking attention both to detail in the mathematics and to accessibility for the reader. … You could base a good postgraduate course on it.' Bulletin of the London Mathematical Society

    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 2004
    • format: Paperback
    • isbn: 9780521603720
    • length: 198 pages
    • dimensions: 229 x 151 x 11 mm
    • weight: 0.3kg
    • availability: Available
  • Table of Contents

    1. Classical Banach spaces
    2. Preliminaries
    3. Bases in Banach spaces
    4. Bases in Banach spaces II
    5. Bases in Banach spaces III
    6. Special properties of C0, l1, and l∞
    7. Bases and duality
    8. Lp spaces
    9. Lp spaces II
    10. Lp spaces III
    11. Convexity
    12. C(K) Spaces
    13. Weak compactness in L1
    14. The Dunford-Pettis property
    15. C(K) Spaces II
    16. C(K) Spaces III
    A. Topology review.

  • Author

    N. L. Carothers, Bowling Green State University, Ohio

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.