A Concise Introduction to Functional Analysis

is designed to serve a one-semester introductory graduate (or advanced undergraduate) course in functional analysis. The text is pragmatically structured so that each unit corresponds to one class, with the hope of being helpful for both students and teachers. It is expected that this text will provide students with a strong general understanding of the subject, and that they should feel well equipped to take on the more advanced texts and courses covering topics not treated here.

Features

Numerous examples and counterexamples to illustrate such abstract concepts

Over 430 exercises, with partial solutions included in the book itself

Minimal pre-requisites beyond linear algebra and general topology.