David Penneys Assistant Professor of Mathematics at The Ohio State University Office: Room 752 Math Tower Office hours: Friday 11:30-12:30 or by appointment Email: penneys (dot) 2 (at) osu (dot) edu

MATH 7211: Functional Analysis
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Announcements

2017/11/15, 12:19
Homework 13 error!
I needed to re-order the problems for HW 13, since you might want to use that the sum of spectrally positive operators is spectrally positive in order to show that a spectrally positive operator is positive (of the form a*a). Thanks to Sam for pointing this out. So Problems 49, 50, 51, and 53 are due Monday.

2017/11/8, 13:26
Homework 15
The final homework consists of Problems 59, 60, and 61 and is due Monday 12/4. (Warning: numbers subject to change...)

2017/11/8, 13:26
Homework 14
Problems 54 and 55 are due Monday 11/27. (Warning: numbers subject to change...)

2017/11/6, 10:00
Homework 13
Problems 49, 50, 51, and 53 are due Monday 11/20.

2017/11/6, 10:00
Homework 12
Problems 45, 46, and one of 47 or 48 are due Monday 11/13.

2017/10/23, 12:38
Homework 11
Problems 40, 41, 42, and 43 are due Monday 11/6.

2017/10/23, 8:16
Handwritten notes on Banach algebras
I've posted some handwritten notes on Banach algebras up through the holomorphic functional calculus and dependence of the spectrum on the algebra. I'll update them again after we cover the Gelfand theory. Additional sources for this material include John B. Conway's A Course in Functional Analysis.

2017/10/18, 14:42
Homework 10
Problems 36, 38, and 39 are due Monday 10/30.

2017/10/16, 13:21
Homework 9
Problems 33, 34, and 35 are due Monday 10/23.

2017/10/6, 18:30
Notes on Fredholm operators
I thought the lecture from 10/6 could have gone a bit better, so I wrote up some notes. You can find the link above.

2017/10/4, 9:52
Homework 8
Problems 29, 30, and 31 are due Monday 10/16.

2017/9/29, 15:51
Homework 7
This homework assignment consists of one of Problem 21 or 22, together with one of Problem 23 or 24. I will only grade one of each, so if you do more, please specify which I should grade. Solutions are due Monday 10/9.

2017/9/24, 11:22
Homework 6
Problems 16, 17, 18, 19, and 20 from the problem list are due Monday 10/2.

2017/9/13, 16:54
Homework 5
Problems 12 and 13 from the problem list are due Monday 9/25.

2017/9/9, 13:26
Homework 4
Problems 9, 10, and 11 from the problem list are due Monday 9/18.

2017/9/5, 10:25
Homework 3
Problems 5, 6, and 7 from the problem list are due Monday 9/11.

2017/9/5, 10:25
Homework 3
Problems 5, 6, and 7 from the problem list are due Monday 9/11.

2017/8/31, 1:10
Homework 2
Problems 3 and 4 from the problem list are due Monday 9/4.

2017/8/23, 14:42
Homework 1
Problems 1 and 2 from the problem list are due Monday 8/28.

2017/8/23, 14:42
Problem list posted
The problem list has been posted in the files section.

2017/8/14, 11:00
Tentative syllabus posted
You can find it above in the files section.