Functional Analysis, BSM, Spring 2012
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Monday 12-14, Wednesday 10-12 (Room 104)
Course description
Exercise sheets:
0. Homework set, Week 1
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1. Infinite dimensional vector spaces
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2. Metric spaces and convergence
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3. Norms and bounded operators
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4. Bounded linear functionals and dual spaces
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5. Extension of functionals; Hahn-Banach theorem
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6. Baire category theorem and its consequences
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7. Spectra of operators
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8. Compact operators
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9. Lp spaces
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10. Inner product spaces
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11. Hilbert spaces
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12. Orthonormal bases
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13. Operators on Hilbert spaces
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14. Normal operators
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15. Special operators
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16. Spectrum; polar decomposition
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Extra problems
Midterm exam
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Final exam
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