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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.

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up vote 7 down vote accepted

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

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Dear Sir. How can we get this book? – blindman Nov 2 '12 at 4:02
Thank you for your introduction of this book. – blindman Nov 2 '12 at 4:12
I second the recommendation. – amWhy 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.

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Thank you for your helping. – 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.

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