On the peripheral spectrum of positive elements

DOI10.1007/S11117-018-0562-9OpenAlexW2615559987MaRDI QIDQ1791089

Egor A. Alekhno

Publication date: 4 October 2018

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06602

zbMATH Keywords

centerperipheral spectrumprimitivityirreducible elementordered Banach algebrafinite-rank elementLotz-Schaefer axiom

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Functional calculus in topological algebras (46H30) Ordered normed spaces (46B40) Ideals and subalgebras (46H10)

Cites Work

• The irreducibility in ordered Banach algebras
• Cones in Banach algebras
• Operator norm limits of order continuous operators
• On theorems of de Pagter and Ando-Krieger
• More spectral theory in ordered Banach algebras
• The order continuity in ordered algebras
• Some properties of essential spectra of a positive operator
• SPECTRAL PROPERTIES OF POSITIVE ELEMENTS IN BANACH LATTICE ALGEBRAS
• On the peripheral spectrum of positive operators
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