On a generalisation of Krein's example
Functional Analysis
2017-10-31 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
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 full description of the unitary invariants, i.e., of the spectrum and the multiplicity. Moreover, we observe a link between the difference of the spectral projections and Hankel operators.
Keywords
Cite
@article{arxiv.1710.10975,
title = {On a generalisation of Krein's example},
author = {Olaf Post and Christoph Uebersohn},
journal= {arXiv preprint arXiv:1710.10975},
year = {2017}
}
Comments
24 pages