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.
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.
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.
Linear Functional Analysis by Springer.
Obvious maths book is obvious
But really, it's a good starting book