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Applications of the scarcity theorem in ordered Banach algebras

Volume 225 / 2014

Sonja Mouton Studia Mathematica 225 (2014), 219-234 MSC: Primary 46H05, 47A10, 47B65. DOI: 10.4064/sm225-3-3


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.


  • Sonja MoutonDepartment of Mathematical Sciences
    Private Bag X1
    Stellenbosch University
    Matieland 7602, South Africa

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