Exercises in Functional Analysis

The understanding of results and notions for a student in mathematics requires solving ex­ ercises. The exercises are also meant to test the reader's understanding of the text material, and to enhance the skill in doing calculations. This book is written with these three things in mind. It is a collection of more than 450 exercises in Functional Analysis, meant to help a student understand much better the basic facts which are usually presented in an introductory course in Functional Analysis. Another goal of this book is to help the reader to understand the richness of ideas and techniques which Functional Analysis offers, by providing various exercises, from different topics, from simple ones to, perhaps, more difficult ones. We also hope that some of the exercises herein can be of some help to the teacher of Functional Analysis as seminar tools, and to anyone who is interested in seeing some applications of Functional Analysis. To what extent we have managed to achieve these goals is for the reader to decide.

From the reviews:

"The present book is one of the few books available with problems in functional analysis. ... the authors have done a good job in crediting the original sources of the problems. ... The layout and the exposition of the book is very good. The book will be of great help to graduate students in mathematics ... . will also be very helpful to research mathematicians in analysis ... . I strongly recommend the book to any person who is interested in analysis and its applications." (C. D. Aliprantis, Mathematical Reviews, Issue 2005 b)