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Lecture Notes
(No guarantee that they represent exactly what was covered in lecture.)

• Introduction
• Ch. 2, linear spaces
• J. Grizzle proof of Heine-Boral Thm. (Optional reading.)
• Ch. 10, optimization
• Monotone convergence
• Deutsch paper on convexity of Chebyshev sets (Optional reading.)
• Ch. 3, Hilbert spaces
• Ch. 6, Linear operators
• Ch. 5, Duality, p. 5.1-4
• Ch. 6 (Adjoints etc.)
• Index

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