Functional analysis textbook recommendation needed

[wasia]

Could any of you recommend a functional analysis textbook?

I have looked at "Methods of modern mathematical physics" by Reed&Simon, but they assume a pure-maths BSc background, thus this book is not ideal for me. About my background: I have an Applied Physics BSc and starting a Theoretical Physics master program with emphasis on strings and QFT.

Mostly I am interested in Hilbert spaces, as well as other things that have (possibly indirect) connections to quantum field theory/quantum mechanics, such as Banach spaces, topological spaces or operators.

 

[Landau]

If Reed+Simon is too mathematical for you, you should definitely check out Kreyszig' https://www.amazon.com/dp/0471504599/?tag=pfamazon01-20. If that's too easy, https://www.amazon.com/dp/1848000049/?tag=pfamazon01-20 by Rynne+Youngson is in between them.

PS: there is a subforum called Science Book Discussion

 

[n!kofeyn]

I second Kreyszig's functional analysis book. I actually plan to go through it myself soon. Another introductory book that I found when searching for this topic is https://www.amazon.com/dp/0486406830/?tag=pfamazon01-20 by Kolmogorov and Fomin. It is much cheaper than Kreysig's book, although from browsing through Kreyszig's book, he was very clear, gave good proofs, and had lots of examples.

 

[George Jones]

I third Kreyszig's functional analysis book. It was the text for a course I took as an undergrad.

 

[qspeechc]

https://www.amazon.com/dp/0387983074/?tag=pfamazon01-20

 

[Pinu7]

Kolmogorov's Elements of the Theory of Functions and Functional Analysis, is one of the best mathematical texts I have. If you don't have it, I'd recommend it.(It's also cheap! $11)

It is a rigorous but enjoyable read. I am currently reading it out of pleasure.

It takes you from set theory to Abstract Hilbert Spaces.

 

[wasia]

Thank you very much for all the replies.