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News
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20.01.2014
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Please read the recent post about the exam and sign up (deadline: Jan 28).
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05.11.2014
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The exam will take place on February 5th between 9:00 and 12:00.
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07.10.2014
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The first exercise class will be on Oct 16.
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Exercise class
The exercise class will take place each Thursday from 12 to 14 in B 041. There we will discuss the homework assignment released on the previous Thursday.
Exercise sheets
| Date |
Homework |
Last updated |
Main topics |
Discussion |
| Thu, Oct 9 |
Assignment 1 |
Oct 14 (P2) |
Compact operators, multiplication operators |
Thu, Oct 16 |
| Thu, Oct 16 |
Assignment 2 |
Oct 21 (P8) |
Orthogonal projections, spectrum, resolvent |
Thu, Oct 23 |
| Thu, Oct 23 |
Assignment 3 |
Oct 23 |
Projections on Banach spaces, injectivity and compactness, spectra |
Thu, Oct 30 |
| Thu, Oct 30 |
Assignment 4 |
Oct 30 |
More spectra, Weyl sequences, multiplication operators |
Thu, Nov 6 |
| Thu, Nov 6 |
Assignment 5 |
Nov 11 (P18:c_n) |
Square root, perturbation by compacts, Volterra integral operator |
Thu, Nov 13 |
| Thu, Nov 13 |
Assignment 6 |
Nov 17
(P21:i)) |
Integral operators, spectral radius, absolute value of compacts, isometries |
Thu, Nov 20 |
| Thu, Nov 20 |
Assignment 7 |
Nov 25 (P26: H complex, P27i)) |
Weyl sequences II, Min-Max,
Volterra integral operator II |
Thu, Nov 27 |
| Thu, Nov 27 |
Assignment 8 |
Nov 27 |
Operator inequalities, decompositions,
normal operators |
Thu, Dec 04 |
| Thu, Dec 04 |
Assignment 9 |
Dec 04 |
Functional calculus, Stone's formula,
Discrete Laplacian |
Thu, Dec 11 |
| Thu, Dec 11 |
Assignment 10 |
Dec 16 (P38(ii):Hint) |
Functional calculus, operator monotone functions, position operator |
Thu, Dec 18 |
| Thu, Dec 18 |
Assignment 11 |
Dec 18 |
Operator convex functions, one-parameter unitary group, cyclic vectors |
Thu, Jan 08 |
| Thu, Jan 08 |
Assignment 12 |
Jan 08 |
Cyclic vectors, unbounded mult. operators, adjoints, von Neumann |
Thu, Jan 15 |
| Thu, Jan 15 |
Assignment 13 |
Jan 15 |
Adjoints, closed operators, commutator, self-adjoint extensions |
Thu, Jan 22 |
| Thu, Jan 23 |
Assignment 14 |
Jan 23 |
Ess. s.a. operators, Dirichlet and Neumann Laplacian, Stone's theorem |
Thu, Jan 29 |
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