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David Penneys
Assistant Professor of Mathematics at The Ohio State University Office: Room 752 Math Tower Office hours: By appointment Email: penneys (dot) 2 (at) osu (dot) edu |
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7212: Functional Analysis
Files
Here you can find the syllabus, a TeX homework template, and the problem list. Here are the notes from 7212 from Spring 2024.
Here you can find the syllabus, a TeX homework template, and the problem list. Here are the notes from 7212 from Spring 2024.
- Spectral theory and C*-algebras
- Basic operators on Hilbert spaces
- Basics of von Neumann algebras
- Projections and factors
- Tracial von Neumann algebras and crossed products
- Approximation Properties for discrete groups
- Notes on topological vector spaces
- Notes on dual spaces
- Notes on compact operators
- Notes on Fredholm operators
- Notes on Banach algebras
- Notes on C*-algebras
- Notes on basic von Neumann algebras and the spectral theorem
- Notes on projections and factors
- Notes on crossed products
- Notes on amenability, the Haagerup property, and property (T)
- Notes on equivalence relations and orbit equivalence
- Vaughan Jones' notes on von Neumann algebras
- Anantharaman, Claire and Popa, Sorin. An introduction to II_1 factors
- Jesse Peterson's notes on operator algebras, ergodic theory, etc.
- Jesse Peterson's notes on von Neumann algebras
- Dana P. Williams' notes on the spectral theorem
Announcements for 7212
2024/4/10, 15:43
HW 13
Problems 65, 66, 71, 73 are due Wednesday 4/17. Please email me a pdf before the start of class.
2024/4/5, 9:15
HW 12
Problems 59, 60, 64 are due Wednesday 4/10. Please email me a pdf before the start of class.
2024/3/28, 20:09
HW 11
Problems 56, 57, 58 are due Wednesday 4/3. Please email me a pdf before the start of class.
2024/3/20, 12:03
HW 10
Problems 48, 49, 52, 53 are due Wednesday 3/27. Please email me a pdf before the start of class.
2024/3/6, 15:16
HW 9
Problems 41, 43, 46, 47 are due Wednesday 3/20. Please email me a pdf before the start of class.
2024/2/26, 12:12
HW 8
Problems 38, 39, 40, 44 are due Wednesday 3/6. Please email me a pdf before the start of class.
2024/2/21, 13:17
HW 7
Problems 33, 34, 36, 37 are due Wednesday 2/28. Please email me a pdf before the start of class.
2024/2/14, 14:33
HW 6
Problems 14, 31, 32, and 35 are due Wednesday 2/21. Please email me a pdf before the start of class. (As I add problems, the numbering of the previous exercises has unfortunately changed.)
2024/2/7, 12:04
HW 5
Problems 26, 27, 28 are due Wednesday 2/14. Please email me a pdf before the start of class.
2024/1/31, 12:34
HW 4
Problems 19, 21, 22, 25 are due Wednesday 2/7. Please email me a pdf before the start of class.
2024/1/24, 8:24
HW 3
Problems 16, 18, 20, 24 are due Wednesday 1/31. Please email me a pdf before the start of class.
2024/1/17, 16:26
HW 2
Problems 8, 10, 15, and 17 are due Wednesday 1/24. Please email me a pdf before the start of class.
2024/1/10, 11:56
HW 1
Problems 1, 2, 3, 5, and 7 are due Wednesday 1/17. Please email me a pdf before the start of class.
2024/1/5, 14:13
Tentative syllabus posted
You can find it above in the files section.
2024/4/10, 15:43
HW 13
Problems 65, 66, 71, 73 are due Wednesday 4/17. Please email me a pdf before the start of class.
2024/4/5, 9:15
HW 12
Problems 59, 60, 64 are due Wednesday 4/10. Please email me a pdf before the start of class.
2024/3/28, 20:09
HW 11
Problems 56, 57, 58 are due Wednesday 4/3. Please email me a pdf before the start of class.
2024/3/20, 12:03
HW 10
Problems 48, 49, 52, 53 are due Wednesday 3/27. Please email me a pdf before the start of class.
2024/3/6, 15:16
HW 9
Problems 41, 43, 46, 47 are due Wednesday 3/20. Please email me a pdf before the start of class.
2024/2/26, 12:12
HW 8
Problems 38, 39, 40, 44 are due Wednesday 3/6. Please email me a pdf before the start of class.
2024/2/21, 13:17
HW 7
Problems 33, 34, 36, 37 are due Wednesday 2/28. Please email me a pdf before the start of class.
2024/2/14, 14:33
HW 6
Problems 14, 31, 32, and 35 are due Wednesday 2/21. Please email me a pdf before the start of class. (As I add problems, the numbering of the previous exercises has unfortunately changed.)
2024/2/7, 12:04
HW 5
Problems 26, 27, 28 are due Wednesday 2/14. Please email me a pdf before the start of class.
2024/1/31, 12:34
HW 4
Problems 19, 21, 22, 25 are due Wednesday 2/7. Please email me a pdf before the start of class.
2024/1/24, 8:24
HW 3
Problems 16, 18, 20, 24 are due Wednesday 1/31. Please email me a pdf before the start of class.
2024/1/17, 16:26
HW 2
Problems 8, 10, 15, and 17 are due Wednesday 1/24. Please email me a pdf before the start of class.
2024/1/10, 11:56
HW 1
Problems 1, 2, 3, 5, and 7 are due Wednesday 1/17. Please email me a pdf before the start of class.
2024/1/5, 14:13
Tentative syllabus posted
You can find it above in the files section.
last modified: 2024/4/10