A Guide to Functional Analysis

Know about the book -

A Guide to Functional Analysis is written by Steven G. Krantz and published by MAA. It's available with International Standard Book Number or ISBN identification 0883853574 (ISBN 10) and 9780883853573 (ISBN 13).

This book is a quick but precise and careful introduction to the subject of functional analysis. It covers the basic topics that can be found in a basic graduate analysis text. But it also covers more sophisticated topics such as spectral theory, convexity, and fixed-point theorems. A special feature of the book is that it contains a great many examples and even some applications. It concludes with a statement and proof of Lomonosov's dramatic result about invariant subspaces.