3 papers
math.FA2017
On a generalisation of Krein's example
Olaf Post, Christoph Uebersohn
We generalise a classical example given by Krein in 1953. We compute the difference of the resolvents and the difference of the spectral projections explicitly. We further give a f…
math.FA2014
On the difference of spectral projections
Christoph Uebersohn
For a semibounded self-adjoint operator and a compact self-adjoint operator acting on a complex separable Hilbert space of infinite dimension, we study the difference $…
math.FA2012
On a family of integral operators of Hankel type
Christoph Uebersohn
In this paper we perform an explicit diagonalization of Hankel integral operators It turns out that each of these operators has a simple purely a…