Fundamentals Of Functional Analysis. 〈iPhone〉

While there are several texts with the title Fundamentals of Functional Analysis , the most prominent recent textbook is by Douglas Farenick . Another highly detailed version is by Ammar Khanfer , which is often used for graduate-level exam preparation.

This subject bridges the gap between linear algebra and analysis by treating functions as points in infinite-dimensional vector spaces. Fundamentals of Functional Analysis.