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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 some outlines of notes for this year, where proofs from class have been suppressed.
Here you can find the syllabus, a TeX homework template, and the problem list. Here are some outlines of notes for this year, where proofs from class have been suppressed.
- Spectral Theory: 2022/01/10
- 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
2022/4/11, 10:09
HW 12
Problems 61, 66, and 68 are due Wednesday 4/20. Please email me a pdf before the start of class.
2022/4/6, 16:24
HW 11
Problems 60, 62, and 63 are due Wednesday 4/13. Please email me a pdf before the start of class.
2022/3/30, 8:55
HW 10
Problems 56, 57, and 58 are due Wednesday 4/6. Please email me a pdf before the start of class.
2022/3/21, 9:51
HW 9
Problems 43, 44, 47, 49 are due Wednesday 3/30. Please email me a pdf before the start of class.
2022/3/1, 16:22
HW 8
Problems 39, 40, 41, and 42 are due Wednesday 3/9. Please email me a pdf before the start of class.
2022/2/25, 14:07
HW 7
Problems 34, 35, and 36 are due Wednesday 3/2. Please email me a pdf before the start of class.
2022/2/15, 17:47
HW 6
Problems 32, 33, and your choice of at least one of 27-31 are due Wednesday 2/23. Please email me a pdf before the start of class.
2022/2/7, 9:10
HW 5
Problems 22, 24, 25, and 26 are due Wednesday 2/16. Please email me a pdf before the start of class.
2022/1/31, 9:41
HW 4
Problems 18, 19, and 21 are due Wednesday 2/9. Please email me a pdf before the start of class.
2022/1/26, 8:55
HW 3
Problems 15, 16, and 17 are due Wednesday 2/2. Please email me a pdf before the start of class.
2022/1/17, 9:06
HW 2
Problems 8, 10, 11, 12, and 13 are due Wednesday 1/26. Please email me a pdf before the start of class.
2022/1/10, 14:43
HW 1
Problems 1, 2, 3, 5, and 7 are due Wednesday 1/19. Please email me a pdf before the start of class.
2022/1/5, 12:14
Tentative syllabus posted
You can find it above in the files section.
2022/4/11, 10:09
HW 12
Problems 61, 66, and 68 are due Wednesday 4/20. Please email me a pdf before the start of class.
2022/4/6, 16:24
HW 11
Problems 60, 62, and 63 are due Wednesday 4/13. Please email me a pdf before the start of class.
2022/3/30, 8:55
HW 10
Problems 56, 57, and 58 are due Wednesday 4/6. Please email me a pdf before the start of class.
2022/3/21, 9:51
HW 9
Problems 43, 44, 47, 49 are due Wednesday 3/30. Please email me a pdf before the start of class.
2022/3/1, 16:22
HW 8
Problems 39, 40, 41, and 42 are due Wednesday 3/9. Please email me a pdf before the start of class.
2022/2/25, 14:07
HW 7
Problems 34, 35, and 36 are due Wednesday 3/2. Please email me a pdf before the start of class.
2022/2/15, 17:47
HW 6
Problems 32, 33, and your choice of at least one of 27-31 are due Wednesday 2/23. Please email me a pdf before the start of class.
2022/2/7, 9:10
HW 5
Problems 22, 24, 25, and 26 are due Wednesday 2/16. Please email me a pdf before the start of class.
2022/1/31, 9:41
HW 4
Problems 18, 19, and 21 are due Wednesday 2/9. Please email me a pdf before the start of class.
2022/1/26, 8:55
HW 3
Problems 15, 16, and 17 are due Wednesday 2/2. Please email me a pdf before the start of class.
2022/1/17, 9:06
HW 2
Problems 8, 10, 11, 12, and 13 are due Wednesday 1/26. Please email me a pdf before the start of class.
2022/1/10, 14:43
HW 1
Problems 1, 2, 3, 5, and 7 are due Wednesday 1/19. Please email me a pdf before the start of class.
2022/1/5, 12:14
Tentative syllabus posted
You can find it above in the files section.
last modified: 2022/4/11