Introduction to sectorial operators
(PhD course, Fall 2017)

  • The third problem sheet is available below.
Brief description

Many problems in mathematical physics can be modeled by using operators in Hilbert spaces. Under certain circumstances these operators will be self-adjoint, but in many examples as, e.g., for Schrödinger and Sturm-Liouville problems with complex, non-symmetric coefficients, this is not the case. The class of so-called sectorial operators provides an appropriate framework which suits these problems very well. This course is designed as an introduction to sectorial operators and their spectral properties. The presented results and techniques are illustrated by examples.


Good knowledge of standard analysis; basic knowledge of functional analysis and operator theory


In September/October we have had lectures on
  • 4./11. September
  • 2./9./17./23./26. October
There will be no lectures in November. The remaining course sessions are
  • 4./11. December, 16:00-18:00, room 306 (Kräftriket 6)
  • 7. December, 13:00-15:00, room 306
  • 14. December, 13:00-15:00, room 14 (Kräftriket 5)

A few problem sheets will be published during the course. You are welcome to discuss the problems with me.

Sheet 1, Sheet 2, Sheet 3.


The opportunity to take an oral exam will be offered in January.


The course will partially follow the book
  • T. Kato, Perturbation Theory for Linear Operators, Second Edition, Springer, 1980.
More details on the literature will be given during the course.


Jonathan Rohleder