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/