On the peripheral spectrum of positive elements
Functional Analysis
2017-05-19 v1
Abstract
We investigate the peripheral spectrum of irreducible positive elements of an ordered Banach algebra. In particular, we give conditions under which the peripheral spectrum contains (or coincides with) the cyclic group generated by a root of unity, and conditions under which the whole spectrum is invariant under the action of this cyclic group.
Cite
@article{arxiv.1705.06602,
title = {On the peripheral spectrum of positive elements},
author = {Egor A. Alekhno},
journal= {arXiv preprint arXiv:1705.06602},
year = {2017}
}
Comments
33 pages