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A First Course in Functional Analysis

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Author(s): S. David Promislow
Edition: 1
Publisher: Wiley
Year: 2008

Language: English
Commentary: Chapter 10 omitted
Pages: 291
City: Hoboken

1. Linear Spaces and Operators
2. Normed Linear Spaces: The Basics
3. Major Banach Space Theorems
4. Hilbert Spaces
5. Hahn-Banach Theorem
6. Duality
7. Topological Vector Spaces
8. The Spectrum
9. Compact Operators
10. Application to Integral and Differential Equations
11. Spectral Theorem for Bounded, Self-Adjoint Operators
Appendix A Zorn's Lemma
Appendix B Stone-Weierstrass Theorem
Appendix C Extended Real Numbers and Limit Points of Sequences
Appendix D Measure and Integration
Appendix E Tychonoff's Theorem