Schedule
Note: The schedule is subject to change. Check back for changes and updates
TOPICS BY LECTURE
| Wed, Jan 4: | Folland, Section 5.1 | Introduction to Banach Spaces (Notes) |
| Fri, Jan 6: | Folland, Section 5.1 | Introduction to Banach Spaces (Notes) |
| Mon, Jan 9: | Folland, Section 5.1 | Introduction to Banach Spaces (Notes) |
| Wed, Jan 11: | Folland, Section 5.2 | Linear Functionals (Notes) |
| Fri, Jan 13: | Folland, Section 5.2 | Hahn-Banach (Notes) |
| Mon, Jan 16: | Holiday | No Class |
| Wed, Jan 18: | Folland, Section 4.2 | Point Set Topology, Baire Category Theorem (Notes) |
| Fri, Jan 20: | Folland, Section 5.3 | Applications of Baire Category Theorem (Notes) |
| Mon, Jan 23: | Folland, Section 5.3 | Hilbert Spaces (Notes) |
| Wed, Jan 25: | Folland, Section 5.5 | Hilbert Spaces (Notes) |
| Fri, Jan 27: | Folland, Section 5.5 | \(L^p\) Space Inequalities (Notes) |
| Mon, Jan 30: | Folland, Section 5.5 | Approximation in \(L^p\) Spaces (Notes) |
| Wed, Feb 1: | Folland, Section 6.1 | Riesz Representation Theorem in \(L^p\) Spaces (Notes) |
| Fri, Feb 3: | Folland, Section 7.1 | Riesz Representation Theorem in \(C_c(X)\) (Notes) |
| Mon, Feb 6: | Folland, Section 7.1 | Riesz Representation Theorem in \(C_c(X)\) (Notes) |
| Wed, Feb 8: | Folland, Section 6.4 | Weak \(L^p\) Spaces (Notes) |
| Fri, Feb 10: | Folland, Section 6.5 | Interpolation and Applications (Notes) |
| Mon, Feb 13: | Folland, Section 6.5 | Interpolation and Applications: Boundedness of Calderon-Zygmund Operators (Notes) |
| Wed, Feb 15: | Folland, Section 6.5 | Interpolation and Applications: Boundedness of Calderon-Zygmund Operators (Notes) |
| Fri, Feb 17: | Midterm Exam | |
| Mon, Feb 20: | Holiday | No Class |
| Wed, Feb 22: | Folland, Section 4.6 | Compact Subsets of Function Spaces: Arzela-Ascoli and Applications (Notes) |
| Fri, Feb 24: | Stein and Shakarchi, Chapter 4, Section 6 | Compact Operators (Notes) |
| Mon, Feb 27: | Stein and Shakarchi, Chapter 4, Section 6 | Fredholm Alternative, Spectra of Compact Operators (Notes) |
| Wed, Mar 1: | Stein and Shakarchi, Chapter 4, Section 6 | Spectra of Compact Operators (Notes) |
| Fri, Mar 3: | Stein and Shakarchi, Chapter 4, Section 6 | Spectra of Compact Operators (Notes) |
| Mon, Mar 6: | Stein and Shakarchi, Chapter 4, Section 6 | Spectral Theorem (Notes) |
| Wed, Mar 8: | Brezis, Chapter 7, Section 1 | Hille-Yosida (Notes) |
| Fri, Mar 10: | SBrezis, Chapter 7, Section 2 | Hille-Yosida (Notes) |