A good book of functional analysis

I am an algebraist and not an analyst, however my favourite book on this area is "Walter Rudin: Functional Analysis".


I am not an analyst of any sort, so you do not need to listen to me, but I really like Lax's "Functional Analysis".


Some of the good books are:

  • Elements of the Theory of Functions and Functional Analysis by Kolmogorov, Fomin.

  • Functional Analysis, by F.Riesz and Nagy.

  • Functional Analysis : Spectral Theory by V.Sunder. Freely available here.

  • Analysis now. By Gert Kjeargård Pedersen. (As suggested by Theo Buehler at $\textbf{Math.SE}$

  • Stein, Elias; Shakarchi, R. (2011). Functional Analysis: An Introduction to Further Topics in Analysis. Princeton University Press. ISBN 0691113874.

  • Functional Analysis, Sobolev Spaces and Partial Differential Equations (Universitext) by Haim Brezis.

  • Elementary Functional Analysis by Georgi E. Shilov.

  • Introductory Functional Analysis with Applications by Erwin Kreyszig.

  • Notes on Functional Analysis by Rajendra Bhatia. (Hindustan Book Agency.)

  • Functional Analysis by S.Kesavan. ( Hindustan Book Agency.)

  • Elementary functional analysis By Barbara D. MacCluer

  • Functional analysis: an introduction By Yuli Eidelman, Vitali D. Milman, Antonis Tsolomitis (AMS)

  • Principles of functional analysis By Martin Schechter. (AMS)

  • You may also want to see this thread: Problem books in Functional Analysis


$\textbf{Note.}$ The books which are written in Italics are the ones which I have read partially. The ones which are not in Italics are the ones which I have come to know (by friends, teachers) are good books in Functional Analysis. Also, I really don't know which publisher actually publishes the book in foreign edition written by Kesavan and Bhatia.