|
News
|
16.02.2016
|
This site is no longer updated.
|
|
10.02.2016
|
Reminder: Deadline for the registration to the oral re-exam is
Tuesday, February 16th, 12:00.
|
|
10.02.2016
|
The results of the exam are now posted at the door of room B403.
|
|
05.02.2016
|
There is updated information about the re-exam on the lecture website.
|
|
26.01.2016
|
Please read the notice about the exam on the lecture website and sign up.
Deadline: registration closed.
|
Exercise class
The exercise class will take place each Friday from 12 to 14 in A 027. There we will discuss the homework assignment released on the previous Friday.
Exercise sheets
| Date |
Homework |
Last updated |
Main topics |
Discussion |
| Fri, Oct 16 |
Assignment 1 |
|
Compact operators, multiplication operators |
Fri, Oct 23 |
| Fri, Oct 23 |
Assignment 2 |
|
Orthogonal projections, spectrum, resolvent |
Fri, Oct 30 |
| Fri, Oct 30 |
Assignment 3 |
|
Projections on Banach spaces, injectivity and compactness, spectra |
Fri, Nov 06 |
| Fri, Nov 06 |
Assignment 4 |
|
More spectra, Weyl sequences, multiplication operators |
Fri, Nov 13 |
| Fri, Nov 13 |
Assignment 5 |
|
Square root, perturbation by compacts, Volterra integral operator |
Fri, Nov 20 |
| Fri, Nov 20 |
Assignment 6 |
|
Integral operators, spectral radius, absolute value of compacts, isometries |
Fri, Nov 27 |
| Fri, Nov 27 |
Assignment 7 |
|
Decompositions, Weyl sequences II,
Min-Max, Volterra integral operator II |
Fri, Dec 04 |
| Fri, Dec 04 |
Assignment 8 |
Dec 10, P32(iii) |
Operator inequalities, commuting operators, normal operators |
Fri, Dec 11 |
| Fri, Dec 11 |
Assignment 9 |
|
Functional calculus, Stone's formula,
Discrete Laplacian |
Fri, Dec 18 |
| Thu, Dec 18 |
Assignment 10 |
|
Functional calculus, operator monotone functions, position operator |
Fri, Jan 08 |
| Wed, Dec 23 |
Holiday Extra |
Jan 13 (cor. grammar) |
Functional Calculus for commuting s.a. operators and normal operators |
- |
| Fri, Jan 08 |
Assignment 11 |
|
Operator convex functions, one-par. unitary group, cyclic vectors |
Fri, Jan 15 |
| Fri, Jan 15 |
Assignment 12 |
|
Cyclic vectors, unbounded mult. operators, adjoints, von Neumann |
Fri, Jan 22 |
| Fri, Jan 22 |
Assignment 13 |
|
closed operators, commutation relation, self-adjoint extensions |
Fri, Jan 29 |
| Fri, Jan 29 |
Assignment 14 |
|
Ess. s.a. operators, Dirichlet and Neumann Laplacian, Stone's theorem |
Fri, Feb 05 |
|
