Applications of the scarcity theorem in ordered Banach algebras
Volume 225 / 2014
Studia Mathematica 225 (2014), 219-234
MSC: Primary 46H05, 47A10, 47B65.
DOI: 10.4064/sm225-3-3
Abstract
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.