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Applications of the scarcity theorem in ordered Banach algebras

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Publication:5499029
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DOI10.4064/sm225-3-3zbMath1329.46043OpenAlexW2313294963MaRDI QIDQ5499029

Sonja Mouton

Publication date: 11 February 2015

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm225-3-3


zbMATH Keywords

spectral theoryordered Banach algebrasscarcity theorem


Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of topological algebras (46H05)


Related Items (2)

Spectral theory in ordered Banach algebras ⋮ On Aupetit’s Scarcity Theorem



Cites Work

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  • Cones in Banach algebras
  • On the 0-spektrum of regular operators and the spectrum of measures
  • Some spectral properties of positive linear operators
  • Domination properties in ordered Banach algebras
  • Uniqueness and spectral variation in Banach algebras
  • On the Multiplicative Spectral Characterization of the Jacobson Radical
  • On rank one and finite elements of Banach algebras
  • Spectrum preserving linear mappings in Banach algebras
  • A spectral problem in ordered Banach algebras
  • On rank one elements
  • Spectral characterizations of scalars in a Banach algebra


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