David Penneys
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 my notes, which were adapted from my old notes using OSU's LaTeX accessibility template. Some other useful resources include (and can be found via a Google search):
  • 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

2026/2/3, 17:21
HW 3
Problems 11, 12, 13, 19, 20 are due Monday 2/9. Please email me a pdf before the start of class.

2026/1/23, 17:21
HW 2
Problems 6, 7, 8, 9, 10 are due Friday 1/30. Please email me a pdf before the start of class.

2026/1/6, 17:13
HW 1
Problems 1, 2, 3, 4, and 5 are due Friday 1/23. Please email me a pdf before the start of class.

2026/1/6, 17:13
Tentative syllabus posted
You can find it above in the files section.

last modified: 2026/2/3