Fundamentals of Functional Analysis Class Notes
From A First Course In Functional Analysis, S. David Promislow
with Supplemental Notes on Hilbert Spaces from
Real Analysis with an Introduction to Wavelets and Applications, D. Hong, J. Wang, and R. Gardner

Copies of the classnotes are on the internet in PDF format as given below. The "Proofs of Theorems" files were prepared in Beamer. The "Printout of Proofs" are printable PDF files of the Beamer slides without the pauses.

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 Linear Spaces.

8. The Spectrum.

9. Compact Operators.

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