Book:Martin Schechter/Principles of Functional Analysis/Second Edition

Subject Matter

 * Functional Analysis

Contents
Preface to the Revised Edition

From the Preface to the First Edition


 * Chapter 1. Basic Notions


 * 1.1 A problem from differential equations


 * 1.2 An examination of the results


 * 1.3 Examples of Banach spaces


 * 1.4 Fourier series


 * 1.5 Problems


 * Chapter 2. Duality


 * Chapter 3. Linear Operators


 * Chapter 4. The Riesz Theory for Compact Operators


 * Chapter 5. Fredholm Operators


 * Chapter 6. Spectral Theory


 * Chapter 7. Unbounded Operators


 * Chapter 8. Reflexive Banach Spaces


 * Chapter 9. Banach Algebras


 * Chapter 10. Semigroups


 * Chapter 11. Hilbert Space


 * Chapter 12. Bilinear Forms


 * Chapter 13. Selfadjoint Operators


 * Chapter 14. Measures of Operators


 * Chapter 15. Examples and Applications

Appendix A. Glossary

Appendix B. Major Theorems

Bibliography

Index