The spectrum of the restriction to an invariant subspace
Functional Analysis
2020-04-27 v1
Abstract
Let be a Banach space, and be an invariant subspace of . We present an alternative proof that, if the spectrum of the restriction of to contains a point that is in any given hole in the spectrum of , then the entire hole is in the spectrum of the restriction.
Cite
@article{arxiv.2004.11708,
title = {The spectrum of the restriction to an invariant subspace},
author = {Dimosthenis Drivaliaris and Nikos Yannakakis},
journal= {arXiv preprint arXiv:2004.11708},
year = {2020}
}