We apply Aupetit's scarcity theorem to obtain stronger versions of many spectral-theoretical results in ordered Banach algebras in which the algebra cone has generating properties.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm225-3-3,
author = {Sonja Mouton},
title = {Applications of the scarcity theorem in ordered Banach algebras},
journal = {Studia Mathematica},
volume = {223},
year = {2014},
pages = {219-234},
zbl = {1329.46043},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm225-3-3}
}
Sonja Mouton. Applications of the scarcity theorem in ordered Banach algebras. Studia Mathematica, Tome 223 (2014) pp. 219-234. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm225-3-3/