News
20.01.2014

Please read the recent post about the exam and sign up (deadline: Jan 28).

05.11.2014

The exam will take place on February 5th between 9:00 and 12:00.

07.10.2014

The first exercise class will be on Oct 16.

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, MinMax, 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, oneparameter 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, selfadjoint 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 
