A Note on the Order Lozanovsky Spectrum for Positive Operators

COMPLEX ANALYSIS AND OPERATOR THEORY（2023）

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摘要

In this note we consider the order Lozanovsky spectrum of a positive operator on a complex Banach lattice and show that it generally contains the order Weyl spectrum, settling a weaker form of a question raised in Alekhno (Positivity 13(1):3–20, 2009).

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关键词

Banach lattice,Positive operators,Regular operators,r-compact operators,Order Weyl spectrum,Order Lozanovsky spectrum

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