Schedule
Note: The schedule is subject to change. Check back for changes and updates
TOPICS BY LECTURE
| Mon, Mar 31: | Folland, Section 5.1 | Introduction to Banach Spaces (Notes) |
| Wed, Apr 2: | Folland, Section 5.1 | Introduction to Banach Spaces (Notes) |
| Fri, Apr 4: | Folland, Section 5.1 | Introduction to Banach Spaces (Notes) |
| Mon, Apr 7: | Folland, Section 5.2 | Linear Functionals (Notes) |
| Wed, Apr 9: | Folland, Section 5.2 | Hahn-Banach (Notes) |
| Fri, Apr 11: | Folland, Section 4.2 | Point Set Topology, Baire Category Theorem (Notes) |
| Mon, Apr 14: | Folland, Section 4.2 | Point Set Topology, Baire Category Theorem (Notes) |
| Wed, Apr 16: | Folland, Section 5.3 | Applications of Baire Category Theorem and Hilbert Spaces (Notes) |
| Fri, Apr 18: | Folland, Section 5.3 | Hilbert Spaces (Notes) |
| Mon, Apr 21: | Folland, Section 5.5 | Hilbert Spaces (Notes) |
| Wed, Apr 23: | Folland, Section 5.5 | \(L^p\) Space Inequalities, Approximation in \(L^p\) Spaces (Notes) |
| Fri, Apr 25: | Folland, Section 5.5 | Riesz Representation Theorem in \(L^p\) Spaces (Notes) |
| Mon, Apr 28: | Folland, Section 7.1 | Riesz Representation Theorem in \(C_c(X)\) (Notes) |
| Wed, Apr 30: | Folland, Section 7.1 | Riesz Representation Theorem in \(C_c(X)\) (Notes) |
| Fri, May 2: | Folland, Section 7.1 | Riesz Representation Theorem in \(C_c(X)\) (Notes) |
| Mon, May 5: | Folland, Section 6.4 | Weak \(L^p\) Spaces (Notes) |
| Wed, May 7: | Midterm Exam | Midterm Exam |
| Fri, May 9: | Folland, Section 6.4 | Weak \(L^p\) Spaces (Notes) |
| Mon, May 12: | Folland, Section 6.5 | Interpolation and Applications: Boundedness of Calderon-Zygmund Operators (Notes) |
| Wed, May 14: | No Class | No Class |
| Fri, May 16: | No Class | No Class |
| Mon, May 19: | Folland, Section 6.5 | Interpolation and Applications: Boundedness of Calderon-Zygmund Operators (Notes) |
| Wed, May 21: | Folland, Section 6.5 | Interpolation and Applications: Boundedness of Calderon-Zygmund Operators (Notes) |
| Fri, May 23: | Folland, Section 4.6 | Compact Subsets of Function Spaces: Arzela-Ascoli and Applications (Notes) |
| Mon, May 26: | Holiday | No Class |
| Wed, May 28: | Stein and Shakarchi, Chapter 4, Section 6 | Compact Operators (Notes) |
| Fri, May 30: | Stein and Shakarchi, Chapter 4, Section 6 | Fredholm Alternative, Spectra of Compact Operators (Notes) |
| Mon, Jun 2: | Stein and Shakarchi, Chapter 4, Section 6 | Spectra of Compact Operators (Notes) |