| Oct 19, 2012 |
Winter 2013: EECS 600 Function Space Methods in System Theory
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PLEASE NOTE: THIS COURSE IS NOT OFFERED EVERY SEMESTER!
Topics covered will include vector spaces, normed spaces, and Hilbert spaces; the Projection Theorem and complete orthogonal systems; linear operators, bounded operators, adjoint operators; The Hahn-Banach Theorem; the Riez Representation Theorem; Duality. Most of the class will be to learn about results on abstract and possibly infinite-dimensional spaces, but with time we will also explore finite dimensional results specifically for optimization; e.g. Farkas lemma and its role in the proof of KKT Theorem. [Read More] |
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