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My Functional Analysis lecturer gave me a topic for my assignment, the title is "On Reflexive Banach Spaces". I am a looking for several good references to start my work, that is why I brought this question here.

Thanks for any help.

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    @Benjamin: Thanks for the edit.2012-05-30
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    What is your assignment?2012-05-30
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    Maybe you could state briefly what you already know on reflexive spaces and what sources you already consulted. Also: http://en.wikipedia.org/wiki/Reflexive_space2012-05-30
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    @mixedmath: Reflexive Banach Spaces.2012-05-30
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    @Hassan: I got that part. What about them?2012-05-30
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    @mixedmath: I have to write everything that is possible about Reflexive Banach spaces.2012-05-30
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    @Hassan: Then I recommend to you to say goodbye to your friends and family and invest in a library. There is an extensive literature on reflexive Banach spaces, and the subject is not dead. So I suppose you should also work on getting a PhD, in functional analysis of course, and coming up with some good, new results.2012-05-30
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    @mixedmath: This is the first time to hear this. But, I believe in what you said. I am only interested in having a background about the topic. That is all!2012-05-30

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Haim Breziz's Functional Analysis, Sobolov Spaces, and Partial Differential Equations chapter 3 is a good source for some some results about the weak topology and weak compactness in reflexive Banach Spaces. You may also want to show that Hilbert Space, particular $\ell^p$ and $L^p$ spaces, and Sobolev spaces are reflexive.

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    I will like to know where to find those result you mention.2012-05-30
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    There is an entire section on Reflective Banach Spaces in the book. Take a look in the index for some of the other ones.2012-05-30
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Linear Functional Analysis by Springer.

Obvious maths book is obvious

But really, it's a good starting book

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    Thanks for the reference @Adam.2012-05-31