More spectral theory in ordered Banach algebras

DOI10.1023/A:1009717500980zbMath0904.46036OpenAlexW66550669MaRDI QIDQ1383770

D. Massart

Publication date: 13 April 1998

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009717500980

zbMATH Keywords

spectral theoryperipheral spectrumKrein-Rutman theorempositive elements in an ordered Banach algebrapositive quasi-inessential elements

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60) General theory of topological algebras (46H05) Ordered topological linear spaces, vector lattices (46A40) Ideals and subalgebras (46H10)

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A spectral problem in ordered Banach algebras ⋮ The order continuity in ordered algebras ⋮ The upper Browder spectrum property ⋮ Spectral theory in ordered Banach algebras ⋮ Ordered Banach algebras and multi-norms: some open problems ⋮ Eventually positive elements in ordered Banach algebras ⋮ The irreducibility in ordered Banach algebras ⋮ On Ordered C*-algebras ⋮ On Poles of the Resolvents of Dominated Elements in Ordered Banach Algebras ⋮ Finite spectra and quasinilpotent equivalence in Banach algebras ⋮ A note on the lower Weyl and Lozanovsky spectra of a positive element ⋮ On the peripheral spectrum of positive elements ⋮ On the strict monotonicity of spectral radii for classes of bounded positive linear operators ⋮ On quasinilpotent equivalence of finite rank elements in Banach algebras ⋮ A condition for spectral continuity of positive elements ⋮ Domination by ergodic elements in ordered Banach algebras ⋮ The convergence of Abel averages and application to ordered Banach algebras ⋮ A note on Aupetit's perturbation theorem ⋮ On the boundary spectrum in banach algebras

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