Notions of absolutely continuous subspace for nonselfadjoint operators
Functional Analysis
2008-06-11 v2 Mathematical Physics
math.MP
Abstract
We give an example of an operator with different weak and strong absolutely continuous subspaces, and a counterexample to the duality problem for the spectral components. Both examples are optimal in the scale of compact operators.
Cite
@article{arxiv.0711.3557,
title = {Notions of absolutely continuous subspace for nonselfadjoint operators},
author = {Roman Romanov},
journal= {arXiv preprint arXiv:0711.3557},
year = {2008}
}
Comments
13 pages; a counterexample to the duality problem for spectral components has been added