Skip to content
Register Sign in Wishlist
Look Inside Elements of Functional Analysis

Elements of Functional Analysis

2nd Edition

£47.99

  • Date Published: January 1989
  • availability: Available
  • format: Paperback
  • isbn: 9780521358682

£ 47.99
Paperback

Add to cart Add to wishlist

Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • The second edition of this successful textbook, first published in 1970, retains the aims of the first, namely to provide a truly introductory course in functional analysis, but the opportunity has been taken to add more detail and worked examples. The main changes are complete revisons of the work on convex sets, metric and topological linear spaces, reflexivity and weak convergence. Additional material on the Weiner algebra of absolutely convergent Fourier series and on weak topologies is included. A final chapter includes elementary applications of functional analysis to differential and integral equations.

    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

    • Edition: 2nd Edition
    • Date Published: January 1989
    • format: Paperback
    • isbn: 9780521358682
    • length: 256 pages
    • dimensions: 228 x 151 x 15 mm
    • weight: 0.35kg
    • availability: Available
  • Table of Contents

    Preface to the second edition
    Preface to the first edition
    Part I. Basic Set Theory and Analysis:
    1. Sets and functions
    2. Real and complex numbers
    3. Sequences of functions, continuity, differentiability
    4. Inequalities
    Part II. Metric and Topological Spaces:
    1. Metric and semimetric spaces
    2. Complete metric spaces
    3. Some metric and topological concepts
    4. Continuous functions on metric and topological spaces
    5. Compact sets
    6. Category and uniform boundedness
    Part III. Linear and Linear Metric Spaces:
    1. Linear spaces
    2. Subspaces, dimensionality, factorspaces, convex sets
    3. Metric linear spaces, topological linear spaces
    4. Basis
    Part IV. Normed Linear Spaces:
    1. Convergence and completeness
    2. Linear operators and functionals
    3. The Banach–Steinhaus theorem
    4. The open mapping and closed graph theorems
    5. The Hahn–Banach extension
    6. Weak topology and weak convergence
    Part V. 1. Algebras and Banach algebras
    2. Homomorphisms and isomorphisms
    3. The spectrum and the Gelfand–Mazaur theorem
    4. The Weiner algebra
    Part VI. Hilbert Space:
    1. Inner product and Hilbert spaces
    2. Orthonormal sets
    3. The dual space of a Hilbert space
    4. Symmetric and compact operators
    Part VII. Applications:
    1. Differential and integral problems
    2. The Sturm–Liouville problem
    3. Matrix transformations in sequence spaces
    Appendix
    Bibliography
    Index.

  • Author

    I. J. Maddox

Related Books

also by this author

Sorry, this resource is locked

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

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 www.ebooks.com. Please see the permission section of the www.ebooks.com 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.

Cancel

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.
×