Book:Joseph Muscat/Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras

Subject Matter

 * Functional Analysis

Contents
Introduction


 * Part I: Metric Spaces


 * 2. Distance


 * 3. Convergence and Continuity


 * 4. Completeness and Separability


 * 5. Connectedness


 * 6. Compactness


 * Part II: Banach and Hilbert Spaces


 * 7. Normed Spaces


 * 8. Continuous Linear Maps


 * 9. Main Examples


 * 10. Hilbert Spaces


 * 11. Banach Spaces


 * 12. Differentiation and Integration


 * Part III: Banach Algebras


 * 13. Banach Algebras


 * 14. Spectral Theory


 * 15. $C^*$-Algebras

Hints to Selected Problems

Glossary of Symbols

Further Reading

References

Index