Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

There are many excellent problem books in real analysis.I'm looking for a problem book in functional analysis or a book which contains a lot of problems in functional analysis (Easy and hard problems) to which a complete solution manual is readily available .

share|improve this question
I thought that Halmos' "A Hilbert Space Problem Book" was quite nice. I believe it also has a section with hints and then another one with more or less full solutions. –  brom Dec 12 '12 at 13:18
You might want to have a look at Textbook of Functional Analysis: A Problem-oriented Approach by V. K. Krishnan. You might also want to review some of the recommendation here: math.stackexchange.com/questions/7512/… –  Amzoti Dec 12 '12 at 13:48

3 Answers 3

A $C_p$-Theory Problem Book: Topological and Function Spaces by Vladimir V. Tkachuk (2011). (I think all problems are solved in the main book.)

Also, this link at mathoverflow.net might be helpful.

share|improve this answer
Thanks for your recommendations . I think it's a very good book ,but I'm interested in a more applied point of view that's applicable to physics . Also ,at a first glance that book doesn't cover operator theory on hilbert space. –  physicsStudent Dec 13 '12 at 7:51

Theorems and Problems in Functional Analysis has a lot of problems with hints and solutions.

share|improve this answer
this book is hard –  Chasky Nov 11 '13 at 1:03

Bernard Gelbaum's Problems in Real and Complex Analysis has a chapter on topological vector spaces, which are functional analysis problems.

share|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

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