Math 113
Functional Analysis
Last updated March 28, 2016 11:35:21 EDT

General Information Syllabus HW Assignments


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Syllabus

The following is a tentative syllabus for the course. We will almost certainly deviate from it as the mood arises.
More current information my find its way onto the Homework Assignments page.


  1. Metric Spaces (6 Lectures)
    1. Definitions and Examples
    2. Metric Topology
    3. Complete Spaces
    4. Ascoli-Arzela Theorem
    5. Baire Category Theorem
  2. Banach Spaces (15 Lectures)
    1. Normed Linear Spaces
    2. Banach Spaces
    3. Linear Operators
    4. Hahn Banach Theorem
    5. Duality
    6. Banach Algebras
    7. C*-algebras
  3. Hilbert Spaces (3 Lectures)
    1. Definitions
    2. Rieze Representation Theorem
    3. Orthonormal bases
    4. Adjoints
    5. Concrete C*-algebras
  4. Elements of Harmonic Analysis
    1. TBA: Interest and time dependent.


Dana P. Williams
Last updated March 28, 2016 11:35:21 EDT