Unformatted text preview: 1. Basics of normed linear spaces 2. The Contraction Mapping Theorem and applications 3. Hilbert Spaces, The Projection Theorem, and minimum distance to a convex set 4. Complete orthonormal sequences 5. Elements of duality theory Practical matters The exam will be held in room 141, Coordinated Science Laboratory . You may bring one sheet of notes, double-sided. No calculators are permitted. Ofce hours on Monday March 3 will be extended slightly, 3:00-5:00 in 144 CSL. I will also hold oFce hours early Tuesday morning if there is suFcient demand....
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- Spring '08
- Vector Space, Contraction Mapping Theorem, normed linear spaces, vector space methods, Hahn Banach Theorem, Prof. Sean Meyn