I have known a lot of excellent textbooks on functional analysis:

  • Functional Analysis (Walter Rudin)

  • Functional Analysis, Sobolev Spaces and Partial Differential Equations (Haim Brezis)


I could not find some good exercise books on functional analysis.

Please help me to find some good books on exercise of functional analysis.

Thank you for all helping and comments.


Try Exercises in Functional Analysis by Constantin Costara and Dumitru Popa.

  • $\begingroup$ Dear Sir. How can we get this book? $\endgroup$ – blindman Nov 2 '12 at 4:02
  • $\begingroup$ Thank you for your introduction of this book. $\endgroup$ – blindman Nov 2 '12 at 4:12
  • $\begingroup$ I second the recommendation. $\endgroup$ – Namaste Nov 28 '12 at 0:05

The book M. Fabian, P. Habala, P. Hajek, V. Montesinos, V. Zizler: Banach Space Theory. The Basis of Linear and Nonlinear Analysis has plenty of exercises at the and of each chapter.

Google Books link, MR2766381 (2012h:46001), Zbl 1229.46001.

  • $\begingroup$ Thank you for your helping. $\endgroup$ – blindman Nov 5 '12 at 1:35

There is the classic by Halmos, a problem book in Hilbert spaces. It is a GTM book so should be easy to find. Stein's Real Analysis and Functional Analysis might be also a good choice, if you want a broader flavor in analysis topics.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.