Spectral Properties of Operators with some Structure
Reference no.: ML1
Supervisor: Dr Matthias Langer
Date advertised: 6th February 2007
Please contact Dr Matthias Langer for further information.
The study of the spectrum (eigenvalues and "continuous" spectrum) of operators in a Hilbert space is of great importance in many areas of pure and applied science.
It determines, e.g. the possible energy levels or results of measurements in quantum physics and the asymptotic behaviour of systems in various areas.
In the last decade there has been a lot of interest in operators which have some block structure and can be written as matrices with operators as entries.
This structure can be used to obtain information about the spectrum.
There are many problems still open that could be investigated within this project, e.g. an operator that appears in astrophysics or the connection with some operator-valued functions.