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Functional Analysis

Volume I: A Gentle Introduction

by Dzung Minh Ha

ISBN 978-0-9715766-1-2
640 pages, hardcover, smythe-sewn binding

book cover 

Look inside this book

Click  below to see the table of contents, and (in pdf only) the beginning pages of chapters  1-6, two pages from later in chapters 1-6, beginning pages of each appendix,  and the last two pages of appendix D (solutions to odd-numbered exercises).

These pages are all copyrighted. If you find it unpleasant to read them online, you are welcome to print one copy for your use. For other uses, please write hubbard@matrixeditions.com to inquire about permission.

Table of contents (in pdf)

Table of contents (in html)

Chapter 0 (Three important inequalities): first 3 pages

Chapter 1 (Metric and topological spaces): first 4 pages

Chapter 1: pages 88-89 (compactness)

Chapter 2 (Normed spaces and topological vector spaces):  first 4 pages

Chapter 2: pages 165-166 (Banach spaces)

Chapter 3 (Operators on normed spaces): first 4 pages

Chapter 3: pages 243-244 (Banach-Steinhaus theorem)

Chapter 4 (Inner product spaces): first 4 pages

Chapter 4: pages 329-330 (Hilbert spaces)

Chapter 5 (The Banach space C(X)): first 4 pages

Chapter 5, pages 398-399 (Stone-Weierstrass theorem)

Chapter 6 (Additional topics): first 4 pages

Chapter 6: pages 445-446 (fixed point theorem for integral equations)

Appendix A (Set theory and functions): first 4 pages

Appendix B (Mostly linear algebra): first 4 pages

Appendix C (Some technical results): first  page

Appendix D (Solutions to odd exercises): first 2 pages

Appendix D (Solutions to odd exercises): last 2 pages

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